Use the power rule of exponents to create a simplified equivalent expression for (9^4)^9.

A. 36^9 b. 9^36 c. 9^4×6

1 answer

To simplify the expression (9^4)^9 using the power rule of exponents, you need to multiply the exponents.

The power rule of exponents states that (a^b)^c = a^(b*c).

Therefore, (9^4)^9 = 9^(4*9) = 9^36.

So, the simplified equivalent expression for (9^4)^9 is 9^36.

Therefore, the correct answer is b. 9^36.
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