Lesson \( 19 / \operatorname{sission} \) a han How can you write \( \left(10^{2}\right)^{2} \) as a single power of 10 ? show your work.

To write \( \left(10^{2}\right)^{2} \) as a single power of 10, we can use the property of exponents that states \( (a^m)^n = a^{m \cdot n} \). Here are the steps: 1. Identify the base and the exponents in the expression \( \left(10^{2}\right)^{2} \). - Base: \( 10 \) - Exponent: \( 2 \) (from \( 10^2 \)) and \( 2 \) (the exponent outside the parentheses). 2. Apply the exponent rule: \[ \left(10^{2}\right)^{2} = 10^{2 \cdot 2} \] 3. Calculate the new exponent: \[ 2 \cdot 2 = 4 \] 4. Write the final expression: \[ \left(10^{2}\right)^{2} = 10^{4} \] Thus, \( \left(10^{2}\right)^{2} \) can be written as \( 10^{4} \).