Solve ${(2 x)}^{6}$ $(2x)^6$ ?

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Solve ${(2 x)}^{6}$ $(2x)^6$ ?

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Answer 1 · 2018-02-20T00:06:03

See below.

Explanation:

${(2 x)}^{6}$ $(2x)^6$ can be rewritten as $2 x \times 2 x \times 2 x \times 2 x \times 2 x \times 2 x$ $2x xx 2x xx 2x xx 2x xx 2x xx 2x$ . Here is the solution process for simplifying further:

$2 x \times 2 x \times 2 x \times 2 x \times 2 x \times 2 x$ $2x xx 2x xx 2x xx 2x xx 2x xx 2x$

$2 \times 2 \times 2 \times 2 \times 2 \times 2 \times x \times x \times x \times x \times x \times x$ $2 xx 2 xx 2 xx 2 xx 2 xx 2 xx x xx x xx x xx x xx x xx x$

$(2 \times 2 \times 2 \times 2 \times 2 \times 2) \times (x \times x \times x \times x \times x \times x)$ $(2 xx 2 xx 2 xx 2 xx 2 xx 2) xx (x xx x xx x xx x xx x xx x)$

$(4 \times 4 \times 4) \times x^{6}$ $(4xx4xx4)xx x^6$

$(64) \times x^{6}$ $(64)xx x^6$

$64 x^{6}$ $color(blue)(64x^6$

I hope that helps!

Answer 2 · 2018-02-20T00:09:19

$64 x^{6}$ $64x^6$

Explanation:

We can break apart $2 x^{6}$ $2x^6$ into the following:

$2^{6}$ $2^6$ , which is $64$ $64$ (same as $2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$ $2*2*2*2*2*2$ )
${(x)}^{6}$ $(x)^6$ , which is still $x^{6}$ $x^6$

Therefore, ${(2 x)}^{6}$ $(2x)^6$ is $64 x^{6}$ $64x^6$

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Solve ${(2 x)}^{6}$ $(2x)^6$ ?

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