simplify 5a^{-8}b^4

Solution

simplify

5 a^{- 8} b^{4}

\frac{5 b ^{4}}{a ^{8}}

Solution steps

5 a^{- 8} b^{4}

Apply exponent rule:

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

a^{- 8} = \frac{1}{a ^{8}}

= 5 \cdot \frac{1}{a ^{8}} b^{4}

Apply the fraction rule:

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

= \frac{5 \cdot 1 \cdot b ^{4}}{a ^{8}}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5 b ^{4}}{a ^{8}}

\frac{18 c ^{5}}{16 c ^{3}}

7^{- 4} \cdot 7 \cdot 7^{3}

- 9 x^{3} y^{2} (- 13 x^{2} y^{5})

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