What is (sqrt(36/49))^{3/2} ?

The solution to (sqrt(36/49))^{3/2} is (6*6^{1/2})/(7*7^{1/2)}

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simplify (sqrt(36/49))^{3/2}

simplify

(\frac{36}{49})^{\frac{3}{2}}

\frac{6 \cdot 6 ^{\frac{1}{2}}}{7 \cdot 7 ^{\frac{1}{2}}}

Decimal Notation

0.79356 \dots

Solution steps

(\frac{36}{49})^{\frac{3}{2}}

\frac{36}{49} = \frac{6}{7}

= (\frac{6}{7})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{6 ^{\frac{3}{2}}}{7 ^{\frac{3}{2}}}

7^{\frac{3}{2}} = 7 \cdot 7^{\frac{1}{2}}

= \frac{6 ^{\frac{3}{2}}}{7 \cdot 7 ^{\frac{1}{2}}}

6^{\frac{3}{2}} = 6 \cdot 6^{\frac{1}{2}}

= \frac{6 \cdot 6 ^{\frac{1}{2}}}{7 \cdot 7 ^{\frac{1}{2}}}

e^{0.7}

e^{- 0.08} (20 \frac{e ^{0.08} - 0.73}{1.46 - 0.73})

(69)^{2}

(\frac{2}{5})^{3} l e f t (\frac{2}{5})^{2}

\frac{( 2.567 \cdot 28 ) ^{2}}{1 ^{2}}

What is (sqrt(36/49))^{3/2} ?
The solution to (sqrt(36/49))^{3/2} is (6*6^{1/2})/(7*7^{1/2)}