What is simplify-3d^8(-4d^{-14}) ?

The solution to simplify-3d^8(-4d^{-14}) is (12)/(d^6)

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simplify-3d^8(-4d^{-14})

simplify

- 3 d^{8} (- 4 d^{- 14})

\frac{12}{d ^{6}}

Solution steps

- 3 d^{8} (- 4 d^{- 14})

Apply rule:

- a (- b) = ab

- 3 d^{8} (- 4 d^{- 14}) = 3 d^{8} \cdot 4 d^{- 14}

= 3 d^{8} \cdot 4 d^{- 14}

Multiply the numbers:

3 \cdot 4 = 12

= 12 d^{8} d^{- 14}

Apply exponent rule:

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

d^{8} d^{- 14} = d^{8 - 14}

= 12 d^{8 - 14}

Subtract the numbers:

8 - 14 = - 6

= 12 d^{- 6}

Apply exponent rule:

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

d^{- 6} = \frac{1}{d ^{6}}

= 12 \cdot \frac{1}{d ^{6}}

Simplify

12 \cdot \frac{1}{d ^{6}} : \frac{12}{d ^{6}}

= \frac{12}{d ^{6}}

2 \cdot \frac{1}{7}

12 \cdot 75

(2 x + 3) (x^{2} - 5 x + 4)

3.5 \cdot (5.8 - 7.09)

x^{2} x x^{2}

What is simplify-3d^8(-4d^{-14}) ?
The solution to simplify-3d^8(-4d^{-14}) is (12)/(d^6)