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Popular >

simplify (7^{2/3})/(7^{5/3)}

Solution

simplify

\frac{7 ^{\frac{2}{3}}}{7 ^{\frac{5}{3}}}

Solution

\frac{1}{7}

+1

Decimal Notation

0.14285 \dots

Solution steps

\frac{7 ^{\frac{2}{3}}}{7 ^{\frac{5}{3}}}

Apply exponent rule:

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

= 7^{\frac{2}{3} - \frac{5}{3}}

Combine the fractions

\frac{2}{3} - \frac{5}{3} : - 1

= 7^{- 1}

Apply exponent rule:

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

= \frac{1}{7}

Popular Examples

simplify 10-8 simplify

10 - 8

x + 2 \geq - 1

\frac{t}{2} - 1 \geq 1

simplify (-90-27i)-(66+34i)simplify

(- 90 - 27 i) - (66 + 34 i)

(b+5)/3 =(b+8)/2

\frac{b + 5}{3} = \frac{b + 8}{2}

Frequently Asked Questions (FAQ)

What is (7^{2/3})/(7^{5/3)} ?
The solution to (7^{2/3})/(7^{5/3)} is 1/7