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Popular >

simplify ((-2x^3)/8)^4

Solution

simplify

(\frac{- 2 x ^{3}}{8})^{4}

Solution

\frac{x ^{12}}{256}

Solution steps

(\frac{- 2 x ^{3}}{8})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 2 x ^{3} ) ^{4}}{8 ^{4}}

Simplify

(- 2 x^{3})^{4} : 16 x^{12}

= \frac{16 x ^{12}}{8 ^{4}}

8^{4} = 4096

= \frac{16 x ^{12}}{4096}

Cancel the common factor:

16

= \frac{x ^{12}}{256}

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Frequently Asked Questions (FAQ)

What is ((-2x^3)/8)^4 ?
The solution to ((-2x^3)/8)^4 is (x^{12})/(256)