What is 14.4(101.53)^{-0.718} ?

The solution to 14.4(101.53)^{-0.718} is (72)/(5*101.53^{0.718)}

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simplify 14.4(101.53)^{-0.718}

simplify

14.4 (101.53)^{- 0.718}

\frac{72}{5 \cdot 101.5 3 ^{0.718}}

Decimal Notation

0.52194 \dots

Solution steps

14.4 \cdot 101.5 3^{- 0.718}

Apply exponent rule:

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

101.5 3^{- 0.718} = \frac{1}{101.5 3 ^{0.718}}

= 14.4 \cdot \frac{1}{101.5 3 ^{0.718}}

14.4 \cdot \frac{1}{101.5 3 ^{0.718}} = \frac{14.4}{101.5 3 ^{0.718}}

= \frac{14.4}{101.5 3 ^{0.718}}

\frac{14.4}{101.5 3 ^{0.718}} = \frac{144}{10 \cdot 101.5 3 ^{0.718}}

= \frac{144}{10 \cdot 101.5 3 ^{0.718}}

Factor the number:

144 = 2 \cdot 72

= \frac{2 \cdot 72}{10 \cdot 101.5 3 ^{0.718}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 72}{2 \cdot 5 \cdot 101.5 3 ^{0.718}}

Cancel the common factor:

2

= \frac{72}{5 \cdot 101.5 3 ^{0.718}}

23.9 \cdot 1 0^{- 4}

y^{- 5}

(3 d) (10 d^{7})

356.9 \cdot 1 0^{- 6}

What is 14.4(101.53)^{-0.718} ?
The solution to 14.4(101.53)^{-0.718} is (72)/(5*101.53^{0.718)}