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Popular >

simplify 4^{-2}0.7^{-2}

Solution

simplify

4^{- 2} 0. 7^{- 2}

Solution

0.12755 \dots

Solution steps

4^{- 2} \cdot 0. 7^{- 2}

Apply exponent rule:

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

= 0. 7^{- 2} \cdot \frac{1}{4 ^{2}}

Apply exponent rule:

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

= \frac{1}{4 ^{2}} \cdot \frac{1}{0. 7 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1}{4 ^{2} \cdot 0. 7 ^{2}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{4 ^{2} \cdot 0. 7 ^{2}}

4^{2} \cdot 0. 7^{2} = 7.84

= \frac{1}{7.84}

Divide the numbers:

\frac{1}{7.84} = 0.12755 \dots

= 0.12755 \dots

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Frequently Asked Questions (FAQ)

What is 4^{-2}0.7^{-2} ?
The solution to 4^{-2}0.7^{-2} is 0.12755…