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Popular >

simplify (64b)^{3/4}

Solution

simplify

(64 b)^{\frac{3}{4}}

Solution

16 \cdot 2^{\frac{1}{2}} b^{\frac{3}{4}}

Solution steps

(64 b)^{\frac{3}{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(64 b)^{\frac{3}{4}} = 6 4^{\frac{3}{4}} b^{\frac{3}{4}}

= 6 4^{\frac{3}{4}} b^{\frac{3}{4}}

6 4^{\frac{3}{4}} = 16 \cdot 2^{\frac{1}{2}}

= 16 \cdot 2^{\frac{1}{2}} b^{\frac{3}{4}}

Popular Examples

simplify (sqrt(40))/(sqrt(10))simplify

\frac{40}{10}

simplify (12x^2y^3z)/(21y^4z^3)simplify

\frac{12 x ^{2} y ^{3} z}{21 y ^{4} z ^{3}}

x^{2} - 4 x - 25 = - 4 x

9 w^{2} = 30 w - 25

4x+1<5x<= 3(x+2)

4 x + 1 < 5 x \leq 3 (x + 2)

Frequently Asked Questions (FAQ)

What is (64b)^{3/4} ?
The solution to (64b)^{3/4} is 16*2^{1/2}b^{3/4}