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Popular >

simplify (2.5^4)/(3^4)

Solution

simplify

\frac{2. 5 ^{4}}{3 ^{4}}

Solution

0.48225 \dots

Solution steps

\frac{2. 5 ^{4}}{3 ^{4}}

Apply exponent rule:

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

\frac{2. 5 ^{4}}{3 ^{4}} = (\frac{2.5}{3})^{4}

= (\frac{2.5}{3})^{4}

Apply exponent rule:

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

= \frac{2. 5 ^{4}}{3 ^{4}}

2. 5^{4} = 39.0625

= \frac{39.0625}{3 ^{4}}

3^{4} = 81

= \frac{39.0625}{81}

Divide the numbers:

\frac{39.0625}{81} = 0.48225 \dots

= 0.48225 \dots

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Frequently Asked Questions (FAQ)

What is (2.5^4)/(3^4) ?
The solution to (2.5^4)/(3^4) is 0.48225…