What is (0.2)^{-3}\times (3.5)^{-3} ?

The solution to (0.2)^{-3}\times (3.5)^{-3} is 2.91545…

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simplify (0.2)^{-3}\times (3.5)^{-3}

simplify

(0.2)^{- 3} \cdot (3.5)^{- 3}

2.91545 \dots

Solution steps

(0.2)^{- 3} (3.5)^{- 3}

Apply exponent rule:

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

= 3. 5^{- 3} \cdot \frac{1}{0. 2 ^{3}}

Apply exponent rule:

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

= \frac{1}{0. 2 ^{3}} \cdot \frac{1}{3. 5 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 1}{0. 2 ^{3} \cdot 3. 5 ^{3}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{0. 2 ^{3} \cdot 3. 5 ^{3}}

0. 2^{3} \cdot 3. 5^{3} = 0.343

= \frac{1}{0.343}

Divide the numbers:

\frac{1}{0.343} = 2.91545 \dots

= 2.91545 \dots

x x y + x

34.416 e^{- 0.18 (9)}

1.1 5^{- 5}

x - 7 \cdot x + 7

2. 8^{- 3}

What is (0.2)^{-3}\times (3.5)^{-3} ?
The solution to (0.2)^{-3}\times (3.5)^{-3} is 2.91545…