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Popular >

simplify ((-1.5)^{-4})6

Solution

simplify

((- 1.5)^{- 4}) 6

Solution

1.18518 \dots

Solution steps

((- 1.5)^{- 4}) \cdot 6

Apply exponent rule:

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

= 6 \cdot \frac{1}{( - 1.5 ) ^{4}}

\frac{1}{( - 1.5 ) ^{4}} = \frac{1}{1. 5 ^{4}}

= 6 \cdot \frac{1}{1. 5 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 6}{1. 5 ^{4}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{1. 5 ^{4}}

1. 5^{4} = 5.0625

= \frac{6}{5.0625}

Divide the numbers:

\frac{6}{5.0625} = 1.18518 \dots

= 1.18518 \dots

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Frequently Asked Questions (FAQ)

What is ((-1.5)^{-4})6 ?
The solution to ((-1.5)^{-4})6 is 1.18518…