How do you simplify ${(\frac{2 a^{4} b^{3}}{c^{6}})}^{3}$ $((2a^4b^3)/(c^6))^3$ ?

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Answer 1 · 2017-01-24T17:42:37

See the entire simplification process below:

We can rewrite this expression as:

$\frac{{(2 a^{4} b^{3})}^{3}}{{(c^{6})}^{3}}$ $(2a^4b^3)^3/(c^6)^3$

Then we can use this rule for exponents to simplify:

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

$\frac{2^{3} a^{4 \times 3} b^{3 \times 3}}{c^{6 \times 3}}$ $(2^3a^(4 xx 3)b^(3 xx 3))/c^(6 xx 3)$

$\frac{8 a^{12} b^{9}}{c^{18}}$ $(8a^12b^9)/c^18$

How do you simplify ((2a^4b^3)/(c^6))^3(2a4b3c6)3((2a^4b^3)/(c^6))^3?