Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
Since no options are provided, I cannot determine which expression is correctly developed to use the Power Rule of Exponents. Can you please provide the expressions or options?
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
(−5)0
left parenthesis negative 5 right parenthesis superscript 0 baseline
129
12 superscript 9 baseline
(78)⋅(710)
The expression that is correctly developed to use the Power Rule of Exponents is:
(78)⋅(710)
Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)
Responses
1016
10 superscript 16 baseline
907
90 superscript 7 baseline
1063
10 superscript 63 baseline
102
The expression that correctly uses the Power Rule of Exponents in the expression (109)7 is:
1016
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
(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline
(412)2
left parenthesis 4 superscript 12 baseline right parenthesis squared
4⋅4⋅4⋅4⋅4⋅4⋅4
If the expression 410 was simplified using the Power Rule of Exponents, an equivalent expanded expression is:
4⋅4⋅4⋅4⋅4⋅4⋅4
use the Power Rule of Exponents to create an expression equivalent to (156)2.(1 point)
Responses
154
15 superscript 4 baseline
1512
15 superscript 12 baseline
158
15 superscript 8 baseline
153
Using the Power Rule of Exponents, an expression equivalent to (156)2 is:
1512
what exponent would make the two expressions equivalent: (33)x=324?(1 point)
Responses
21
21
15
15
27
27
8
To make the two expressions (33)x and 324 equivalent, the exponent x would be equal to:
27
I just did the it the bot is wrong, i got 1\5
Apologies for the incorrect response. Let's solve the equation correctly:
To make the two expressions (33)x and 324 equivalent, we need to find the exponent that satisfies the equation:
(33)x = 324
Taking the cube root of both sides, we have:
3x = ∛324
3x = 3^4 (since 324 is equal to 3^4)
3x = 3^(4x)
To make both sides equal, x must be equal to the exponent 4.
Therefore, the correct exponent that would make the two expressions equivalent is:
4
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Which of the following correctly explains using the Product Rule for Exponents?(1 point)
Responses
If the bases are the same, keep the base and multiply the exponents.
If the bases are the same, keep the base and multiply the exponents.
If the bases are the same, keep the base and add the exponents.
If the bases are the same, keep the base and add the exponents.
If the bases are the same, add the bases and add the exponents.
If the bases are the same, add the bases and add the exponents.
If the bases are different, add the bases and add the exponents.