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Popular >

simplify 9^{1/4}*9^{1/4}

Solution

simplify

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

Solution

3

Solution steps

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}} = 9^{\frac{1}{4} + \frac{1}{4}}

= 9^{\frac{1}{4} + \frac{1}{4}}

\frac{1}{4} + \frac{1}{4} = \frac{1}{2}

= 9^{\frac{1}{2}}

Factor the number:

9 = 3^{2}

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

Apply exponent rule:

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

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

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

= 3^{1}

Apply exponent rule:

a^{1} = a

= 3

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Frequently Asked Questions (FAQ)

What is 9^{1/4}*9^{1/4} ?
The solution to 9^{1/4}*9^{1/4} is 3