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Popular >

simplify 8^{7/4}*2^{7/4}

Solution

simplify

8^{\frac{7}{4}} \cdot 2^{\frac{7}{4}}

Solution

128

Solution steps

8^{\frac{7}{4}} \cdot 2^{\frac{7}{4}}

Apply exponent rule:

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

8^{\frac{7}{4}} \cdot 2^{\frac{7}{4}} = (8 \cdot 2)^{\frac{7}{4}}

= (8 \cdot 2)^{\frac{7}{4}}

Multiply the numbers:

8 \cdot 2 = 16

= 1 6^{\frac{7}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{\frac{7}{4}}

Apply exponent rule:

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

(2^{4})^{\frac{7}{4}} = 2^{4 \cdot \frac{7}{4}} = 2^{7}

= 2^{7}

Refine

= 128

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Frequently Asked Questions (FAQ)

What is 8^{7/4}*2^{7/4} ?
The solution to 8^{7/4}*2^{7/4} is 128