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Popular >

simplify (4x^{3/5})^2

Solution

simplify

(4 x^{\frac{3}{5}})^{2}

Solution

16 x^{\frac{6}{5}}

Solution steps

(4 x^{\frac{3}{5}})^{2}

Apply exponent rule:

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

(4 x^{\frac{3}{5}})^{2} = 4^{2} (x^{\frac{3}{5}})^{2}

= 4^{2} (x^{\frac{3}{5}})^{2}

4^{2} = 16

= 16 (x^{\frac{3}{5}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{\frac{3}{5}})^{2} = x^{\frac{3}{5} \cdot 2}

= 16 x^{\frac{3}{5} \cdot 2}

\frac{3}{5} \cdot 2 = \frac{6}{5}

= 16 x^{\frac{6}{5}}

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Frequently Asked Questions (FAQ)

What is (4x^{3/5})^2 ?
The solution to (4x^{3/5})^2 is 16x^{6/5}