The expression that has been generated by applying the properties of integer exponents with only positive exponents is:
7^(2)/(-4)^(3)
which of the following expressions to 15^(0) . 7^(-2)/(-4)^(3) with only positive exponents that has been generated by applying the properties of integer exponents
7^(2)/(-4)^(3)
(-4)^(3)/7^(2)
1/7^(2) . (-4)^-3
4^(3)/7^(2)
13 answers
is this right?
Apologies for the confusion. Upon reviewing the question, it seems that the expression needs to be rewritten with positive exponents.
The correct expression, generated by applying the properties of integer exponents with positive exponents, is:
1/7^(2) . (-4)^(-3)
The correct expression, generated by applying the properties of integer exponents with positive exponents, is:
1/7^(2) . (-4)^(-3)
is this correct?
Apologies for the confusion. You are correct, the expression:
1/7^(2) . (-4)^(-3)
is not written with only positive exponents.
The correct expression should be:
7^(2) / (-4)^(3)
1/7^(2) . (-4)^(-3)
is not written with only positive exponents.
The correct expression should be:
7^(2) / (-4)^(3)
Which of the following is the equivalent to (15^(-3) . 4^(7))^(0) that has been generated by applying the properties of integer exponents
1 . 4^(-3)
64
60/4^(-3)
1/64
1 . 4^(-3)
64
60/4^(-3)
1/64
The expression that is equivalent to (15^(-3) . 4^(7))^(0) and has been generated by applying the properties of integer exponents is:
1
1
is this correct
My apologies for the earlier incorrect response.
To find the expression that is equivalent to (15^(-3) . 4^(7))^(0) with only positive exponents, we will use the property that any number raised to the power of 0 is equal to 1.
Therefore, the correct expression is:
1
To find the expression that is equivalent to (15^(-3) . 4^(7))^(0) with only positive exponents, we will use the property that any number raised to the power of 0 is equal to 1.
Therefore, the correct expression is:
1
which of the following is an equivalent expression to (2^(-3) .9^(3))^(-4)/2^(9) .9^(-10) with only positive exponents that, generated by applying the properties of integer exponents
To simplify the expression (2^(-3) .9^(3))^(-4)/2^(9) .9^(-10) and rewrite it with only positive exponents, we can apply the following properties of integer exponents:
1. For any non-zero number a, a^(-n) = 1/a^n
2. When dividing two expressions with the same base, subtract the exponents.
Let's simplify the given expression step by step:
(2^(-3) .9^(3))^(-4)/2^(9) .9^(-10)
Using property 1 for the first part: 2^(-3) = 1/2^3 = 1/8
Our expression becomes:
(1/8 . 9^(3))^(-4)/2^(9) . 9^(-10)
Next, simplify 9^(3) = 729:
(1/8 . 729)^(-4)/2^(9) . 9^(-10)
Now, apply property 1 for 9^(-10) = 1/9^10:
(1/8 . 729)^(-4)/2^(9) . (1/9^10)
Use property 2 to combine the common bases:
(1/8 . 729)^(-4) / (2^(9) . 1/9^10)
Simplify 1/8 . 729 = 729/8:
(729/8)^(-4) / (2^(9) . 1/9^10)
Now, simplify 2^9 = 512:
(729/8)^(-4) / (512 . 1/9^10)
Next, simplify 729/8 = 91.125:
(91.125)^(-4) / (512 . 1/9^10)
Simplify 512 . 1/9^10 = 512/9^10:
(91.125)^(-4) / (512/9^10)
Finally, apply property 1 to (91.125)^(-4) = 1/(91.125)^4:
1/(91.125)^4 / (512/9^10)
Now, we can simplify and rewrite the expression with positive exponents:
1/(91.125)^4 * (9^10 / 512)
Therefore, the equivalent expression with positive exponents, generated by applying the properties of integer exponents, is:
1/(91.125)^4 * (9^10 / 512)
1. For any non-zero number a, a^(-n) = 1/a^n
2. When dividing two expressions with the same base, subtract the exponents.
Let's simplify the given expression step by step:
(2^(-3) .9^(3))^(-4)/2^(9) .9^(-10)
Using property 1 for the first part: 2^(-3) = 1/2^3 = 1/8
Our expression becomes:
(1/8 . 9^(3))^(-4)/2^(9) . 9^(-10)
Next, simplify 9^(3) = 729:
(1/8 . 729)^(-4)/2^(9) . 9^(-10)
Now, apply property 1 for 9^(-10) = 1/9^10:
(1/8 . 729)^(-4)/2^(9) . (1/9^10)
Use property 2 to combine the common bases:
(1/8 . 729)^(-4) / (2^(9) . 1/9^10)
Simplify 1/8 . 729 = 729/8:
(729/8)^(-4) / (2^(9) . 1/9^10)
Now, simplify 2^9 = 512:
(729/8)^(-4) / (512 . 1/9^10)
Next, simplify 729/8 = 91.125:
(91.125)^(-4) / (512 . 1/9^10)
Simplify 512 . 1/9^10 = 512/9^10:
(91.125)^(-4) / (512/9^10)
Finally, apply property 1 to (91.125)^(-4) = 1/(91.125)^4:
1/(91.125)^4 / (512/9^10)
Now, we can simplify and rewrite the expression with positive exponents:
1/(91.125)^4 * (9^10 / 512)
Therefore, the equivalent expression with positive exponents, generated by applying the properties of integer exponents, is:
1/(91.125)^4 * (9^10 / 512)
which of the following is an equivalent expression to (2^(-3) .9^(3))^(-4)/2^(9) .9^(-10) with only positive exponents that, generated by applying the properties of integer exponents
2^(12) .9^(-12)/2^(9) .9^(-10)
2^(-7) .9^(-1)/2^(9) .9^(-10)
2^(3) . 9^(2)
2^(3)/9^(2)
2^(12) .9^(-12)/2^(9) .9^(-10)
2^(-7) .9^(-1)/2^(9) .9^(-10)
2^(3) . 9^(2)
2^(3)/9^(2)
To simplify the expression (2^(-3) . 9^(3))^(-4)/2^(9) . 9^(-10) and rewrite it with only positive exponents, we can apply the properties of integer exponents. Let's break it down step by step:
First, let's simplify the exponents within the parentheses:
(2^(-3) . 9^(3))^(-4) = 2^(-3*-4) . 9^(3*-4) = 2^(12) . 9^(-12)
So far, we have (2^(12) . 9^(-12))/2^(9) . 9^(-10)
Next, apply the property of division of expressions with the same base by subtracting the exponents:
(2^(12-9) . 9^(-12-(-10)))
Simplifying further, we get:
2^3 . 9^(-2)
Now, rewrite 9^(-2) as 1/9^2:
2^3 . (1/9^2)
This simplifies to:
8/81
Therefore, the equivalent expression with positive exponents, generated by applying the properties of integer exponents, is:
8/81
First, let's simplify the exponents within the parentheses:
(2^(-3) . 9^(3))^(-4) = 2^(-3*-4) . 9^(3*-4) = 2^(12) . 9^(-12)
So far, we have (2^(12) . 9^(-12))/2^(9) . 9^(-10)
Next, apply the property of division of expressions with the same base by subtracting the exponents:
(2^(12-9) . 9^(-12-(-10)))
Simplifying further, we get:
2^3 . 9^(-2)
Now, rewrite 9^(-2) as 1/9^2:
2^3 . (1/9^2)
This simplifies to:
8/81
Therefore, the equivalent expression with positive exponents, generated by applying the properties of integer exponents, is:
8/81
1 answer