What is 15.606(1.05)^{-3/4} ?

The solution to 15.606(1.05)^{-3/4} is (500^{1/4}*31.212)/(9261^{1/4)}

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simplify 15.606(1.05)^{-3/4}

simplify

15.606 (1.05)^{- \frac{3}{4}}

\frac{50 0 ^{\frac{1}{4}} \cdot 31.212}{926 1 ^{\frac{1}{4}}}

Decimal Notation

15.04525 \dots

Solution steps

15.606 \cdot 1.0 5^{- \frac{3}{4}}

Apply exponent rule:

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

1.0 5^{- \frac{3}{4}} = \frac{1}{1.0 5 ^{\frac{3}{4}}}

= 15.606 \cdot \frac{1}{1.0 5 ^{\frac{3}{4}}}

1.05 = \frac{21}{20}

= 15.606 \cdot \frac{1}{( \frac{21}{20} ) ^{\frac{3}{4}}}

\frac{1}{( \frac{21}{20} ) ^{\frac{3}{4}}} = \frac{2 \cdot 50 0 ^{\frac{1}{4}}}{926 1 ^{\frac{1}{4}}}

= 15.606 \cdot \frac{2 \cdot 50 0 ^{\frac{1}{4}}}{926 1 ^{\frac{1}{4}}}

15.606 \cdot \frac{2 \cdot 50 0 ^{\frac{1}{4}}}{926 1 ^{\frac{1}{4}}} = \frac{50 0 ^{\frac{1}{4}} \cdot 31.212}{926 1 ^{\frac{1}{4}}}

= \frac{50 0 ^{\frac{1}{4}} \cdot 31.212}{926 1 ^{\frac{1}{4}}}

x^{4} (3 x^{5})

5.62 \cdot 1 0^{- 2}

6 (1.3)^{- (4.5)}

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

10 \cdot 8.85 \cdot 1 0^{- 12}

What is 15.606(1.05)^{-3/4} ?
The solution to 15.606(1.05)^{-3/4} is (500^{1/4}*31.212)/(9261^{1/4)}