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Popular >

simplify (4.5^4)/(6.5^4)

Solution

simplify

\frac{4. 5 ^{4}}{6. 5 ^{4}}

Solution

0.22971 \dots

Solution steps

\frac{4. 5 ^{4}}{6. 5 ^{4}}

Apply exponent rule:

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

\frac{4. 5 ^{4}}{6. 5 ^{4}} = (\frac{4.5}{6.5})^{4}

= (\frac{4.5}{6.5})^{4}

Apply exponent rule:

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

= \frac{4. 5 ^{4}}{6. 5 ^{4}}

4. 5^{4} = 410.0625

= \frac{410.0625}{6. 5 ^{4}}

6. 5^{4} = 1785.0625

= \frac{410.0625}{1785.0625}

Divide the numbers:

\frac{410.0625}{1785.0625} = 0.22971 \dots

= 0.22971 \dots

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Frequently Asked Questions (FAQ)

What is (4.5^4)/(6.5^4) ?
The solution to (4.5^4)/(6.5^4) is 0.22971…