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Popular >

simplify ((4x^8)/(2x^6))^4

Solution

simplify

(\frac{4 x ^{8}}{2 x ^{6}})^{4}

Solution

16 x^{8}

Solution steps

(\frac{4 x ^{8}}{2 x ^{6}})^{4}

Apply exponent rule:

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

= \frac{( 4 x ^{8} ) ^{4}}{( 2 x ^{6} ) ^{4}}

Simplify

(4 x^{8})^{4} : 256 x^{32}

= \frac{256 x ^{32}}{( 2 x ^{6} ) ^{4}}

Simplify

(2 x^{6})^{4} : 16 x^{24}

= \frac{256 x ^{32}}{16 x ^{24}}

Divide the numbers:

\frac{256}{16} = 16

= \frac{16 x ^{32}}{x ^{24}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{32}}{x ^{24}} = x^{32 - 24}

= 16 x^{32 - 24}

Subtract the numbers:

32 - 24 = 8

= 16 x^{8}

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- 2 x \leq 8

3(x+2)<= 4(x-1)

3 (x + 2) \leq 4 (x - 1)

Frequently Asked Questions (FAQ)

What is ((4x^8)/(2x^6))^4 ?
The solution to ((4x^8)/(2x^6))^4 is 16x^8