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Popular >

simplify 128^{1/4}*2^{1/4}

Solution

simplify

12 8^{\frac{1}{4}} \cdot 2^{\frac{1}{4}}

Solution

4

Solution steps

12 8^{\frac{1}{4}} \cdot 2^{\frac{1}{4}}

12 8^{\frac{1}{4}} = 2 \cdot 2^{\frac{3}{4}}

= 2 \cdot 2^{\frac{3}{4}} \cdot 2^{\frac{1}{4}}

Apply exponent rule:

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

2^{\frac{3}{4}} \cdot 2^{\frac{1}{4}} = 2^{\frac{3}{4} + \frac{1}{4}}

= 2 \cdot 2^{\frac{3}{4} + \frac{1}{4}}

\frac{3}{4} + \frac{1}{4} = 1

= 2 \cdot 2^{1}

Apply exponent rule:

a^{1} = a

2^{1} = 2

= 2 \cdot 2

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is 128^{1/4}*2^{1/4} ?
The solution to 128^{1/4}*2^{1/4} is 4