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Popular >

simplify a^2b^-3/d c^-4

Solution

simplify

a^{2} b^{-} \frac{3}{d} c^{-} 4

Solution

\frac{12 a ^{2} ( b c ) ^{-}}{d}

Solution steps

a^{2} b^{-} \frac{3}{d} c^{-} \cdot 4

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

b^{-} c^{-} = (b c)^{-}

= 4 a^{2} \frac{3}{d} (b c)^{-}

Multiply fractions:

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

= \frac{3 a ^{2} ( b c ) ^{-} \cdot 4}{d}

Multiply the numbers:

3 \cdot 4 = 12

= \frac{12 a ^{2} ( b c ) ^{-}}{d}

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Frequently Asked Questions (FAQ)

What is a^2b^-3/d c^-4 ?
The solution to a^2b^-3/d c^-4 is (12a^2(bc)^-)/d