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Popular >

simplify (9/16)^{3/2}

Solution

simplify

(\frac{9}{16})^{\frac{3}{2}}

Solution

\frac{27}{64}

+1

Solution steps

(\frac{9}{16})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{9 ^{\frac{3}{2}}}{1 6 ^{\frac{3}{2}}}

9^{\frac{3}{2}} = 27

= \frac{27}{1 6 ^{\frac{3}{2}}}

1 6^{\frac{3}{2}} = 64

= \frac{27}{64}

Popular Examples

simplify sqrt(-15)*sqrt(-3)simplify

- 15 \cdot - 3

n^{2} = 10 n + 10

simplify (3/(sqrt(10)))^2 simplify

(\frac{3}{10})^{2}

6 x^{2} - 13 x = - 6

4.5 x + 16 = 11.5

Frequently Asked Questions (FAQ)

What is (9/16)^{3/2} ?
The solution to (9/16)^{3/2} is 27/64