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Popular >

simplify 4^{-2}c^3d^{-1}

Solution

simplify

4^{- 2} c^{3} d^{- 1}

Solution

\frac{c ^{3}}{16 d}

Solution steps

4^{- 2} c^{3} d^{- 1}

4^{- 2} = \frac{1}{16}

= \frac{1}{16} c^{3} d^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

d^{- 1} = \frac{1}{d}

= \frac{1}{16} c^{3} \frac{1}{d}

Apply the fraction rule:

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

= \frac{1 \cdot c ^{3} \cdot 1}{16 d}

Simplify

1 \cdot c^{3} \cdot 1 : c^{3}

= \frac{c ^{3}}{16 d}

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Frequently Asked Questions (FAQ)

What is 4^{-2}c^3d^{-1} ?
The solution to 4^{-2}c^3d^{-1} is (c^3)/(16d)