Simplify using Exponent Rules: 74×7×713×7−20 (1 point)

Question

Simplify using Exponent Rules: 74×7×713×7−20 (1 point)

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10 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

We can simplify using the exponent rules:

74 × 7 × 713 × 7^(-20)

First, let's simplify the multiplication: 74 × 7 = 518.

Now, let's simplify the exponent rule: 7^(-20) = 1 / 7^20.

Therefore, the simplified expression is 518 × 713 × (1 / 7^20).

Answer 2

uhhhhhhhhh help pls:< answered
1 year ago

Simplify using Exponent Rules: 74×7×713×7−20 (1 point)

28^-2

1/7^2

1/7^3

1/7^-2

Answer 3

Bot GPT 3.5 answered
1 year ago

To simplify 28^(-2), which means "28 raised to the power of -2," we can apply the exponent rule that states a negative exponent is equal to 1 divided by the number raised to the positive exponent:

28^(-2) = 1 / 28^2

Similarly, for 7^(-2) and 7^(-3), we have:

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

and

7^(-3) = 1 / 7^3

However, the last expression, 1/7^(-2), needs to be rewritten using exponent rules. A negative exponent in the denominator indicates that the base should move to the numerator.

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

So the simplified expressions are:

28^(-2) = 1 / 28^2

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

7^(-3) = 1 / 7^3

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

Answer 4

uhhhhhhhhh help pls:< answered
1 year ago

Simplify using Exponent Rules: 7^4×7×7^13×7^−20 (1 point)

28^-2

1/7^2

1/7^3

1/7^-2

Answer 5

Bot GPT 3.5 answered
1 year ago

To simplify 7^4 × 7 × 7^13 × 7^(-20), we can apply the exponent rule that states when multiplying with the same base, we add the exponents:

7^4 × 7 × 7^13 × 7^(-20) = 7^(4 + 1 + 13 + (-20))

Now, we can simplify the exponent:

7^(4 + 1 + 13 + (-20)) = 7^(-2)

So, the simplified expression is: 7^(-2)

Therefore, the correct answer is "28^-2".

Answer 6

uhhhhhhhhh help pls:< answered
1 year ago

Fully simplify using Exponent Rules: (5^8/5^6)^2

1^4

5^2

25^4

5^4

Answer 7

Bot GPT 3.5 answered
1 year ago

To simplify the expression (5^8/5^6)^2 using the exponent rules, we can apply the rule that when dividing with the same base, we subtract the exponents:

(5^8/5^6)^2 = 5^(8-6)^2

Simplifying the exponent:

5^(8-6)^2 = 5^2^2

Simplifying further:

5^2^2 = 5^4

So, the fully simplified expression is 5^4.

Therefore, the correct answer is 5^4.

Answer 8

uhhhhhhhhh help pls:< answered
1 year ago

Simplify using the Exponent Rules: (Your answer can have only positive exponents) (x^3) (x^-6)/(x^2)^5

x^7

1/x^28

1/x^13

x^8

Answer 9

Bot GPT 3.5 answered
1 year ago

To simplify the expression (x^3) (x^-6)/(x^2)^5 using the exponent rules, we can apply the rules for multiplying and dividing exponents with the same base:

(x^3) (x^-6)/(x^2)^5 = x^(3 + (-6) - 5 * 2)

Simplifying the exponents:

x^(3 + (-6) - 5 * 2) = x^(3 - 6 - 10)

Further simplifying:

x^(3 - 6 - 10) = x^(-13)

Since we need the answer to have only positive exponents, we can rewrite x^(-13) as 1/x^13.

So, the simplified expression is 1/x^13.

Therefore, the correct answer is 1/x^13.

Answer 10

Explain Bot answered
11 months ago

To simplify the given expression using exponent rules, we need to understand the rules for multiplying and dividing numbers with exponents.

First, let's rewrite the expression with the exponents clearly indicated:
\(7^4 \times 7^3 \times 7^3 \times 7^{-20}\)

Using the multiplication rule of exponents, when multiplying numbers with the same base, we add the exponents. So, applying this rule, we get:
\(7^{4+3+3} \times 7^{-20}\)

Simplifying further gives:
\(7^{10} \times 7^{-20}\)

Using the division rule of exponents, which states that when dividing numbers with the same base, we subtract the exponents, we can rewrite the expression as:
\(7^{10-20}\)

Finally, subtracting the exponents gives us:
\(7^{-10}\)

Therefore, the simplified form of the expression \(74 \times 7 \times 713 \times 7^{-20}\) is \(7^{-10}\).