Question

choose the equivalent expression.

\\((8^{10})^2\\)

• \\(8^5\\)
• \\(8^{20}\\)
• \\(8^8\\)
• \\(8^{12}\\)

Explanation:

Step1: Identify the exponent rule

Apply the power of a power rule:

$$(a^{m})^{n} = a^{m \cdot n}$$

Step2: Multiply the exponents

Calculate the product of the exponents:

$$(8^{10})^{2} = 8^{10 \cdot 2} = 8^{20}$$

Answer:

\(8^{20}\)