Use the Power Rule of Exponents to create an expression equivalent to (156)2.(1 point)
Responses
158
15 superscript 8 baseline
1512
15 superscript 12 baseline
153
15 cubed
154
15 superscript 4 baseline
153
(15)^3
To use the Power Rule of Exponents, we need to multiply the exponents when raising a power to another power.
In this case, we have (156)^2. To simplify this expression, we multiply the exponents.
Therefore, the expression equivalent to (156)^2 is 15^12.
So, the correct answer is:
15 superscript 12 baseline
To use the Power Rule of Exponents, we need to raise each factor within the parentheses to the exponent outside the parentheses.
In this case, the expression is (156)2. To simplify this expression using the Power Rule of Exponents, we need to raise each factor, which is 15 and 6, to the exponent 2.
Following the Power Rule of Exponents, we have:
(156)2 = 152 x 62
Now, we can calculate the values:
15^2 = 225
6^2 = 36
Therefore, the expression (156)2 is equivalent to 225 x 36, which evaluates to 8100.
So, the correct expression equivalent to (156)2 is 8100.