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Popular >

simplify 4.1^{-3}\times 3.1^5

Solution

simplify

4. 1^{- 3} \cdot 3. 1^{5}

Solution

4.15390 \dots

Solution steps

4. 1^{- 3} \cdot 3. 1^{5}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 3. 1^{5} = 3. 1^{5}

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

3. 1^{5} = 286.29151

= \frac{286.29151}{4. 1 ^{3}}

4. 1^{3} = 68.921

= \frac{286.29151}{68.921}

Divide the numbers:

\frac{286.29151}{68.921} = 4.15390 \dots

= 4.15390 \dots

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Frequently Asked Questions (FAQ)

What is 4.1^{-3}\times 3.1^5 ?
The solution to 4.1^{-3}\times 3.1^5 is 4.15390…