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Popular >

simplify 6^{3/2}x^{3/2}

Solution

simplify

6^{\frac{3}{2}} x^{\frac{3}{2}}

Solution

6 \cdot 6^{\frac{1}{2}} x^{\frac{3}{2}}

Solution steps

6^{\frac{3}{2}} x^{\frac{3}{2}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

6^{\frac{3}{2}} x^{\frac{3}{2}} = (6 x)^{\frac{3}{2}}

= (6 x)^{\frac{3}{2}}

Apply exponent rule:

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

= 6^{\frac{3}{2}} x^{\frac{3}{2}}

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

= 6 \cdot 6^{\frac{1}{2}} x^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is 6^{3/2}x^{3/2} ?
The solution to 6^{3/2}x^{3/2} is 6*6^{1/2}x^{3/2}