This module is intended to help you understand fractional exponents.

Question

, On this question page, there is an equation with an input box to complete, followed by a try button. When you press the button, if your answer is correct, another question will appear. This will continue for a series of questions until the final answer area appears.Rewrite the expression below as 8 to a single power:
left parenthesis, 8, to the power 10 , right parenthesis, to the power 7(8
10
)
7
=

Answer 1

To rewrite the expression \((8^{10})^7\) as a single power, you can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[ (8^{10})^7 = 8^{10 \cdot 7} \]

Now calculate the exponent:

\[ 10 \cdot 7 = 70 \]

So the expression simplifies to:

\[ (8^{10})^7 = 8^{70} \]

Thus, the final answer is:

\[ 8^{70} \]