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Popular >

simplify (3.1^5)(8.1^{-4})

Solution

simplify

(3. 1^{5}) (8. 1^{- 4})

Solution

0.06650 \dots

Solution steps

(3. 1^{5}) (8. 1^{- 4})

Apply exponent rule:

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

= 3. 1^{5} \cdot \frac{1}{8. 1 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 3. 1 ^{5}}{8. 1 ^{4}}

Multiply:

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

= \frac{3. 1 ^{5}}{8. 1 ^{4}}

3. 1^{5} = 286.29151

= \frac{286.29151}{8. 1 ^{4}}

8. 1^{4} = 4304.6721

= \frac{286.29151}{4304.6721}

Divide the numbers:

\frac{286.29151}{4304.6721} = 0.06650 \dots

= 0.06650 \dots

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Frequently Asked Questions (FAQ)

What is (3.1^5)(8.1^{-4}) ?
The solution to (3.1^5)(8.1^{-4}) is 0.06650…