What is (a^{-5}b^8c^{-12})(a^7b^{-3}c^7) ?

The solution to (a^{-5}b^8c^{-12})(a^7b^{-3}c^7) is (b^5a^2)/(c^5)

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simplify (a^{-5}b^8c^{-12})(a^7b^{-3}c^7)

simplify

(a^{- 5} b^{8} c^{- 12}) (a^{7} b^{- 3} c^{7})

\frac{b ^{5} a ^{2}}{c ^{5}}

Solution steps

(a^{- 5} b^{8} c^{- 12}) (a^{7} b^{- 3} c^{7})

Simplify

a^{- 5} b^{8} c^{- 12} : \frac{b ^{8}}{a ^{5} c ^{12}}

= \frac{b ^{8}}{a ^{5} c ^{12}} a^{7} b^{- 3} c^{7}

Apply exponent rule:

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

b^{- 3} = \frac{1}{b ^{3}}

= \frac{b ^{8}}{a ^{5} c ^{12}} a^{7} \frac{1}{b ^{3}} c^{7}

Apply the fraction rule:

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

= \frac{b ^{8} a ^{7} \cdot 1 \cdot c ^{7}}{a ^{5} c ^{12} b ^{3}}

Apply rule:

a \cdot 1 = a

b^{8} a^{7} \cdot 1 \cdot c^{7} = b^{8} a^{7} c^{7}

= \frac{b ^{8} a ^{7} c ^{7}}{a ^{5} c ^{12} b ^{3}}

Simplify

\frac{b ^{8}}{b ^{3}} : b^{5}

= \frac{b ^{5} a ^{7} c ^{7}}{a ^{5} c ^{12}}

Simplify

\frac{a ^{7}}{a ^{5}} : a^{2}

= \frac{b ^{5} a ^{2} c ^{7}}{c ^{12}}

Simplify

\frac{c ^{7}}{c ^{12}} : \frac{1}{c ^{5}}

= \frac{b ^{5} a ^{2}}{c ^{5}}

2 x - 1 \leq 3

510 \cdot \frac{π}{180}

1 = 7 - 3 x

- 0.1 x^{2} - x + 44 = 0.1 x^{2} + 2 x + 24

∣ x - 1 ∣ + ∣ x - 6 ∣ = 5

What is (a^{-5}b^8c^{-12})(a^7b^{-3}c^7) ?
The solution to (a^{-5}b^8c^{-12})(a^7b^{-3}c^7) is (b^5a^2)/(c^5)