What is (14.4)(104)^{-0.718} ?

The solution to (14.4)(104)^{-0.718} is (72)/(5*104^{0.718)}

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simplify (14.4)(104)^{-0.718}

simplify

(14.4) (104)^{- 0.718}

\frac{72}{5 \cdot 10 4 ^{0.718}}

Decimal Notation

0.51301 \dots

Solution steps

(14.4) \cdot 10 4^{- 0.718}

Apply rule:

(a) = a

(14.4) = 14.4

= 14.4 \cdot 10 4^{- 0.718}

Apply exponent rule:

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

10 4^{- 0.718} = \frac{1}{10 4 ^{0.718}}

= 14.4 \cdot \frac{1}{10 4 ^{0.718}}

14.4 \cdot \frac{1}{10 4 ^{0.718}} = \frac{14.4}{10 4 ^{0.718}}

= \frac{14.4}{10 4 ^{0.718}}

\frac{14.4}{10 4 ^{0.718}} = \frac{144}{10 \cdot 10 4 ^{0.718}}

= \frac{144}{10 \cdot 10 4 ^{0.718}}

Factor the number:

144 = 2 \cdot 72

= \frac{2 \cdot 72}{10 \cdot 10 4 ^{0.718}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 72}{2 \cdot 5 \cdot 10 4 ^{0.718}}

Cancel the common factor:

2

= \frac{72}{5 \cdot 10 4 ^{0.718}}

l \cdot 2

0.0073 \cdot 1 0^{- 3}

1.0100100000000 \dots \cdot 1 0^{- 11}

64 x^{4}

7.11 \cdot 1 0^{- 3}

What is (14.4)(104)^{-0.718} ?
The solution to (14.4)(104)^{-0.718} is (72)/(5*104^{0.718)}