Question

Which of the following is an equivalent expression to 59⋅5−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)

Answer 1

Which property of exponents was used to generate the equivalent expression 314 from 353−9 ?(1 point)

Answer 2

Which of the following is an equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)

Answer 3

Which of the following is an equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point) Responses

(−4)372 start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction

4372 Start Fraction 4 cubed over 7 squared end fraction

72(−4)3 Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction

172 ⋅ (−4)−3

Answer 4

choose one of the options i gave please

Answer 5

Which of the following is the equivalent expression to (15−3 ⋅ 47)04−3 that has been generated by applying the Properties of Integer Exponents?(1 point)

Answer 6

Which of the following is the equivalent expression to (15−3 ⋅ 47)04−3 that has been generated by applying the Properties of Integer Exponents?(1 point) Responses

1⋅4−3 1 times 4 negative cubed 604−3

Start Fraction 60 over 4 negative cubed end fraction

Start Fraction 1 over 64 end fraction

64

Answer 7

choose one of the options i gave

Answer 8

Which of the following is an equivalent expression to (2−3 ⋅93)−429 ⋅9−10 with only positive exponents, generated by applying the Properties of Integer Exponents?(1 point) Responses

212⋅9−1229⋅9−10 Start fraction 2 superscript 12 baseline times 9 superscript negative 12 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction

2−7⋅9−129⋅9−10 Start fraction 2 superscript negative 7 baseline times 9 superscript negative 1 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction

2^3 ⋅9^2

2 cubed times 9 squared 2392

Answer 9

choose one of the options i gave pls

Answer 10

you got half of those wrong.

Answer 11

The equivalent expression to 59⋅5−13 with only positive exponents can be generated by applying the property of exponents which states that a^(-n) = 1/a^n. Therefore, 59⋅5−13 is equivalent to 59⋅(1/5)^13.

The correct answer is 59⋅(1/5)^13.

Answer 12

The property of exponents used to generate the equivalent expression 314 from 353−9 is the property of subtracting exponents.

Specifically, when you have the same base raised to two exponents being subtracted, like in this case, a^m / a^n, you can simplify it as a^(m - n).

So, 353−9 can be simplified as 3^(5 - 9) which simplifies to 3^-4.

And, 3^-4 is equal to 1/3^4 which gives us the equivalent expression 314.

Therefore, the property of subtracting exponents was used to generate the equivalent expression 314.

Answer 13

To simplify the expression 150 ⋅ 7^(-2) * (-4)^(-3) with only positive exponents, we can use the property of exponents that states a^(-n) = 1/a^n.

The expression can be simplified as:

150 * 1/(7^2) * 1/((-4)^3)

Next, we can apply the property that states a^(-n) = 1/a^n to the bases 7^2 and (-4)^3:

150 * 1/(49) * 1/( -4^3)

Simplifying further:

150 * 1/49 * 1/(-64)

Combining the fractions:

150 * (1/49) * (1/(-64))

Multiplying the numbers:

150/49/(-64)

To generate an equivalent expression with positive exponents, we can rewrite it as:

(150/49)/(-64)

Therefore, the equivalent expression to 150 ⋅ 7^-2 * (-4)^-3 with only positive exponents, generated using the properties of integer exponents, is (150/49)/(-64).

Answer 14

To simplify the expression 150 ⋅ 7^(-2) * (-4)^(-3) with only positive exponents, we can use the property of exponents that states a^(-n) = 1/a^n.

We can apply this property to both 7^(-2) and (-4)^(-3):

7^(-2) = 1/7^2 = 1/49

(-4)^(-3) = 1/(-4)^3 = 1/(-64)

Now our expression becomes:

150 * (1/49) * (1/(-64))

To find an equivalent expression with positive exponents, we can rearrange our terms:

150/((7^2) * ((-4)^3))

150/(49 * (-64))

The correct equivalent expression, generated using the properties of integer exponents, is:

150/(-3136)

Therefore, the answer is not listed among the given options and is 150/(-3136).

Answer 15

I apologize for the confusion. One of the options you gave is:

4372 Start Fraction 4 cubed over 7 squared end fraction

Therefore, the equivalent expression to 150 ⋅ 7^(-2) * (-4)^(-3) with only positive exponents, generated using the properties of integer exponents, is 4372 Start Fraction 4 cubed over 7 squared end fraction.

Answer 16

To simplify the expression (15^(-3) * 4^7)^0^(-3) with only positive exponents, we need to apply the property of exponents that states any non-zero number raised to the power of 0 is equal to 1.

In this expression, 0^(-3) is equal to 1.

Therefore, the equivalent expression to (15^(-3) * 4^7)^0^(-3) that has been generated by applying the properties of integer exponents is:

(15^(-3) * 4^7)^1

And, (15^(-3) * 4^7)^1 simplifies to:

15^(-3) * 4^7

The correct equivalent expression, generated by applying the properties of integer exponents, is 15^(-3) * 4^7.

Answer 17

To simplify the expression (15^(-3) * 47)^(0^(-3)) with only positive exponents, we need to apply the property of exponents that states any non-zero number raised to the power of 0 is equal to 1.

In this case, since 0^(-3) is equal to 1, the expression simplifies to (15^(-3) * 47)^1.

Therefore, the equivalent expression to (15^(-3) * 47)^(0^(-3)) that has been generated by applying the properties of integer exponents is (15^(-3) * 47)^1.

So, the correct answer is (15^(-3) * 47)^1.

Answer 18

Apologies for the oversight. From the provided options, the equivalent expression to (15^(-3) * 47)^(0^(-3)) that has been generated by applying the Properties of Integer Exponents is:

Start Fraction 1 over 64 end fraction

Therefore, the answer is: Start Fraction 1 over 64 end fraction .

Answer 19

To simplify the expression (2^(-3) * 9^3)^(-4) * 9^(-10) with only positive exponents, you can apply the property of exponents that states a^(-n) = 1/a^n.

Let's simplify each term:

(2^(-3) * 9^3)^(-4) can be written as (1/2^3 * 9^3)^(-4) = (1/8 * 729)^(-4) = (1/5832)^(-4).

Since any number raised to the power of -n is equal to 1 divided by that number raised to the power of n, we have:

(1/5832)^(-4) = 5832^4.

Therefore, the equivalent expression, generated by applying the properties of integer exponents, is 5832^4.

The correct answer is 5832^4.

Answer 20

Apologies for the confusion. From the options provided, the equivalent expression to (2^(-3) * 9^3)^(-4) * 9^(-10) with only positive exponents, generated by applying the Properties of Integer Exponents is:

2^3 ⋅ 9^2

Therefore, the answer is: 2 cubed times 9 squared or 2^3 ⋅ 9^2.

Answer 21

I apologize for the errors in my previous responses. Let's go through the options again to find the correct equivalent expression.

The expression we are simplifying is (2^(-3) * 9^3)^(-4) * 9^(-10).

Let's evaluate each option:

Option 1: 2^12 * 9^(-12) / (2^9 * 9^(-10))

This expression is not equivalent to the original expression.

Option 2: 2^(-7) * 9^(-1) / (2^9 * 9^(-10))

This expression is not equivalent to the original expression.

Option 3: 2^3 * 9^2

This expression is also not equivalent to the original expression.

Option 4: 2^(3) * 9^(-1229) * 9^(-10)

This expression is equivalent to the original expression.

Therefore, the correct equivalent expression, generated by applying the Properties of Integer Exponents, is:

2^3 * 9^(-1229) * 9^(-10)

I apologize for the confusion earlier. The correct answer is Option 4.