(6^2)^4
(6^2)^4 is equal to 6^(2*4), which simplifies to 6^8.
(73^4)^5
(73^4)^5 is equal to 73^(4*5), which simplifies to 73^20.
(78^8)^6
(78^8)^6 is equal to 78^(8*6), which simplifies to 78^48.
(12⋅12⋅12)⋅(12⋅12⋅12)
(12⋅12⋅12)⋅(12⋅12⋅12) is equal to (12^3)⋅(12^3), which simplifies to 12^(3+3), or 12^6.
(16^x)^6=(16^18)
To solve for x, we set the exponents equal to each other:
(16^x)^6 = 16^18
By applying the power of a power rule, we have:
16^(6x) = 16^18
Since the bases are the same, we can equate the exponents:
6x = 18
Divide both sides of the equation by 6:
x = 3
Therefore, the value of x is 3.
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
(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline
129
12 superscript 9 baseline
(78)⋅(710)