Which expression is correctly developed to use the Power Rule of Exponents?(1 point) Responses (−5)0 left parenthesis negative 5 right parenthesis superscript 0 baseline (78)⋅(710) left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis (74)8 left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline 129 12 superscript 9 baseline

11 answers

The expression that is correctly developed to use the Power Rule of Exponents is (7^8) * (7^10).
Which of the following correctly used the Power Rule of Exponents in the expression (109)7 ?(1 point) Responses 907 90 superscript 7 baseline 1016 10 superscript 16 baseline 1063 10 superscript 63 baseline 102
The correct response that uses the Power Rule of Exponents in the expression (10^9)^7 is 10^(9*7) = 10^63.
If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point) Responses (45)2 left parenthesis 4 superscript 5 baseline right parenthesis squared (412)2 left parenthesis 4 superscript 12 baseline right parenthesis squared (42)8 left parenthesis 4 squared right parenthesis superscript 8 baseline 4⋅4⋅4⋅4⋅4⋅4⋅4
If the expression 4^10 was simplified using the Power Rule of Exponents, an equivalent expanded expression would be 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4.
Use the Power Rule of Exponents to create an expression equivalent to (156)2 .(1 point) Responses 158 15 superscript 8 baseline 154 15 superscript 4 baseline 153 15 cubed 1512
Using the Power Rule of Exponents, an expression equivalent to (15^6)^2 would be 15^(6*2) which simplifies to 15^12.
What exponent would make the two expressions equivalent: (33)x=324 ?(1 point) Responses 27 27 15 15 21 21 8
To find the exponent that would make the expressions equivalent, we can set up the equation (33)^x = 324.

In this case, to determine the exponent value, we need to find the value of x that would make (33)^x equal to 324.

By trying different values for x, we can determine that x = 4, since (33)^4 = 35937, which is not equal to 324.

Therefore, there is no value of x that would make the two expressions equivalent.
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Apologies for the confusion. Let's reiterate the problem.

We are given the expression (33)^x = 324 and we need to determine the value of x that would make the two expressions equivalent.

To find the exponent x, we need to determine what power we raise 33 to in order to obtain 324.

By trying different values, we can find that 33^2 = 1089 is greater than 324, and 33^3 = 35937 is greater than 324 as well.

However, (33^4) = 1185921 is greater than 324, which implies that x = 4 is the correct value.

So, the exponent that would make the two expressions equivalent is x = 4.