Use the power rule of exponents to create an expression equivalent to (15⁶)².
A. 15⁸
B. 15⁴
C. 15¹²
D. 15³
To use the power rule of exponents, we multiply the exponents when raising a power to another power.
Therefore, (15⁶)² can be simplified as 15^(6*2), which is equal to 15^12.
Therefore, the correct answer is C. 15¹².
To use the power rule of exponents, we multiply the exponents when raising a power to another power.
In this case, we have (15⁶)². To find an expression equivalent to this, we multiply the exponents 6 and 2: (15⁶)² = 15^(6*2) = 15¹².
Therefore, the expression equivalent to (15⁶)² is C. 15¹².