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Popular >

simplify 144^{3/2}

Solution

simplify

14 4^{\frac{3}{2}}

Solution

1728

Solution steps

14 4^{\frac{3}{2}}

Factor the number:

144 = 1 2^{2}

= (1 2^{2})^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

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

= 1 2^{3}

1 2^{3} = 1728

= 1728

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Frequently Asked Questions (FAQ)

What is 144^{3/2} ?
The solution to 144^{3/2} is 1728