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Popular >

simplify 4^3x^2(4/x)^{-2}

Solution

simplify

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

Solution

4 x^{4}

Solution steps

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

4^{3} = 64

= 64 x^{2} (\frac{4}{x})^{- 2}

Simplify

(\frac{4}{x})^{- 2} : \frac{x ^{2}}{16}

= 64 x^{2} \frac{x ^{2}}{16}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{64 x ^{2} x ^{2}}{16}

Divide the numbers:

\frac{64}{16} = 4

= 4 x^{2} x^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x^{2} = x^{2 + 2}

= 4 x^{2 + 2}

Add the numbers:

2 + 2 = 4

= 4 x^{4}

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Frequently Asked Questions (FAQ)

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