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Simplify to a single power of 2 :

(2^(2))^(5)
Answer: 2^◻

Simplify to a single power of $2$ : $\newline$ $\left(2^{2}\right)^{5}$ $\newline$ Answer: $2 ^\square$

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Evaluate rational exponents

Full solution

Q. Simplify to a single power of

2

:

\newline

\left(2^{2}\right)^{5}

\newline

Answer:

2 ^\square

Identify base and exponent: Identify the base and the exponent in the expression $(2^{2})^{5}$ . $\newline$ In $(2^{2})^{5}$ , the base is $2^{2}$ , and the outer exponent is $5$ .
Apply power of power rule: Apply the power of a power rule, which states that $(a^m)^n = a^{m*n}$ . $(2^{2})^{5} = 2^{2*5}$
Multiply exponents: Multiply the exponents to simplify the expression. $2^{2\times5} = 2^{10}$
Check for errors: Check for any mathematical errors in the previous steps. $\newline$ No errors found in the calculations.

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