How do you simplify ${(a^{8})}^{\frac{3}{2}}$ $(a^8)^(3/2)$ ?

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How do you simplify ${(a^{8})}^{\frac{3}{2}}$ $(a^8)^(3/2)$ ?

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Answer 1 · 2018-05-30T12:17:10

Use this rule of exponents to simplify the expression:

${(x^{a})}^{b} = x^{a \times b}$ $(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))$

${(a^{8})}^{\frac{3}{2}} \Rightarrow a^{8 \times \frac{3}{2}} \Rightarrow a^{\frac{24}{2}} \Rightarrow a^{12}$ $(a^color(red)(8))^color(blue)(3/2) => a^(color(red)(8) xx color(blue)(3/2)) => a^(24/2) => a^12$

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How do you simplify ${(a^{8})}^{\frac{3}{2}}$ $(a^8)^(3/2)$ ?

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How do you simplify ${(a^{8})}^{\frac{3}{2}}$ $(a^8)^(3/2)$ ?