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Popular >

simplify ((x-3)^2)^{3/2}

Solution

simplify

((x - 3)^{2})^{\frac{3}{2}}

Solution

(x - 3)^{3}

Solution steps

((x - 3)^{2})^{\frac{3}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

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

= (x - 3)^{3}

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Frequently Asked Questions (FAQ)

What is ((x-3)^2)^{3/2} ?
The solution to ((x-3)^2)^{3/2} is (x-3)^3