((2^(-4))^(2))/(2^(-10))

Simplify numerator: Simplify the numerator ((2^(-4))^2). When raising a power to a power, you multiply the exponents. (2^(-4))^2 = 2^(-4 * 2) = 2^(-8)Rewrite expression: Rewrite the expression using the simplified numerator. Now the expression is (2^(-8))/(2^(-10)).Apply quotient rule: Apply the quotient rule for exponents. When dividing like bases with exponents, you subtract the exponents. (2^(-8))/(2^(-10)) = 2^(-8 - (-10)) = 2^(2)Calculate final result: Calculate the final result. 2^(2) = 4

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$\frac{\left(2^{-4}\right)^{2}}{2^{-10}}$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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\frac{\left(2^{-4}\right)^{2}}{2^{-10}}

Simplify numerator: Simplify the numerator $((2^{-4})^2)$ . When raising a power to a power, you multiply the exponents. $(2^{-4})^2 = 2^{-4 \times 2} = 2^{-8}$
Rewrite expression: Rewrite the expression using the simplified numerator. $\newline$ Now the expression is $(2^{-8})/(2^{-10})$ .
Apply quotient rule: Apply the quotient rule for exponents. $\newline$ When dividing like bases with exponents, you subtract the exponents. $\newline$ $(2^{-8})/(2^{-10}) = 2^{-8 - (-10)}$ $\newline$ $= 2^{2}$
Calculate final result: Calculate the final result. $\newline$ $2^{2} = 4$