How do you simplify ${(x^{3})}^{5}$ $(x^3)^5$ ?

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How do you simplify ${(x^{3})}^{5}$ $(x^3)^5$ ?

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Answer 1 · 2018-08-02T05:31:16

$" "$
${(x^{3})}^{5} = x^{15}$ $color(red)( (x^3)^5=x^15$

Explanation:

$" "$
Using the exponent formula: ${(x^{m})}^{n} = x^{m n}$ $color(blue)((x^m)^n=x^(mn)$ ,

we can simplify

${(x^{3})}^{5}$ $color(green)( (x^3)^5$ as

$\Rightarrow x^{(3) (5)}$ $rArr x^[(3)(5)]$

$\Rightarrow x^{15}$ $rArr x^15$

Hence,

${(x^{3})}^{5} = x^{15}$ $color(red)( (x^3)^5=x^15$

Hope it helps.

Answer 2 · 2018-08-02T08:24:34

$x^{15}$ $x^(15)$

Explanation:

$using the law of exponents$ $"using the "color(blue)"law of exponents"$

$∙ x {(a^{m})}^{n} = a^{(m \times n)}$ $•color(white)(x)(a^m)^n=a^((mxxn))$

${(x^{3})}^{5} = x^{(3 \times 5)} = x^{15}$ $(x^3)^5=x^((3xx5))=x^(15)$

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How do you simplify ${(x^{3})}^{5}$ $(x^3)^5$ ?

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