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Popular >

simplify 1.25^4*(1.2)^{-3}

Solution

simplify

1.2 5^{4} \cdot (1.2)^{- 3}

Solution

1.41285 \dots

Solution steps

1.2 5^{4} (1.2)^{- 3}

Apply exponent rule:

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

= 1.2 5^{4} \cdot \frac{1}{1. 2 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 1.2 5 ^{4}}{1. 2 ^{3}}

Multiply:

1 \cdot 1.2 5^{4} = 1.2 5^{4}

= \frac{1.2 5 ^{4}}{1. 2 ^{3}}

1.2 5^{4} = 2.44140625

= \frac{2.44140625}{1. 2 ^{3}}

1. 2^{3} = 1.728

= \frac{2.44140625}{1.728}

Divide the numbers:

\frac{2.44140625}{1.728} = 1.41285 \dots

= 1.41285 \dots

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Frequently Asked Questions (FAQ)

What is 1.25^4*(1.2)^{-3} ?
The solution to 1.25^4*(1.2)^{-3} is 1.41285…