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Popular >

simplify (0.0001^4)/(1.5^4)

Solution

simplify

\frac{0.000 1 ^{4}}{1. 5 ^{4}}

Solution

1.97531 E - 17

Solution steps

\frac{0.000 1 ^{4}}{1. 5 ^{4}}

Apply exponent rule:

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

\frac{0.000 1 ^{4}}{1. 5 ^{4}} = (\frac{0.0001}{1.5})^{4}

= (\frac{0.0001}{1.5})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{0.000 1 ^{4}}{1. 5 ^{4}}

0.000 1^{4} = 1.0 E - 16

= \frac{1.0 E - 16}{1. 5 ^{4}}

1. 5^{4} = 5.0625

= \frac{1.0 E - 16}{5.0625}

Divide the numbers:

\frac{1.0 E - 16}{5.0625} = 1.97531 E - 17

= 1.97531 E - 17

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Frequently Asked Questions (FAQ)

What is (0.0001^4)/(1.5^4) ?
The solution to (0.0001^4)/(1.5^4) is 1.97531E-17