Use the Power Rule of Exponents to create an expression equivalent to (156)2.(1 point)
Responses
158
15 superscript 8 baseline
153
15 cubed
154
15 superscript 4 baseline
1512
15 superscript 12 baseline
To create an expression equivalent to (156)^2 using the Power Rule of Exponents, we multiply the exponents.
(156)^2 can be rewritten as 15^6.
So, the correct expression equivalent to (156)^2 is 15^6.
To use the Power Rule of Exponents to create an expression equivalent to (156)2, we can simply apply the rule which states that when taking the exponent of a power, we multiply the exponents.
In this case, we have (156)2. Since the base is 15 and the exponent is 6, we can apply the power rule and multiply the exponents:
(156)2 = 15^6 × 2.
So, the equivalent expression is 15^12.
Therefore, the correct response is 1512.