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Popular >

simplify (7^5)/(49^3)

Solution

simplify

\frac{7 ^{5}}{4 9 ^{3}}

Solution

\frac{1}{7}

+1

Solution steps

\frac{7 ^{5}}{4 9 ^{3}}

Factor

4 9^{3} : 7^{6}

= \frac{7 ^{5}}{7 ^{6}}

Apply exponent rule:

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

= \frac{1}{7 ^{6 - 5}}

Subtract the numbers:

6 - 5 = 1

= \frac{1}{7 ^{1}}

Apply exponent rule:

a^{1} = a

7^{1} = 7

= \frac{1}{7}

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\frac{\frac{1}{2}}{3}

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simplify (1+3/(c-1))/(1-3/(c-1))simplify

\frac{1 + \frac{3}{c - 1}}{1 - \frac{3}{c - 1}}

Frequently Asked Questions (FAQ)

What is (7^5)/(49^3) ?
The solution to (7^5)/(49^3) is 1/7