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Popular >

simplify 8(16)^{7/4}

Solution

simplify

8 (16)^{\frac{7}{4}}

Solution

1024

Solution steps

8 \cdot 1 6^{\frac{7}{4}}

Factor the number:

16 = 2^{4}

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

Apply exponent rule:

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

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

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

4 \cdot \frac{7}{4} = 7

= 8 \cdot 2^{7}

2^{7} = 128

= 8 \cdot 128

Multiply the numbers:

8 \cdot 128 = 1024

= 1024

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5/3 w+2/5 =w-7/3

\frac{5}{3} w + \frac{2}{5} = w - \frac{7}{3}

Frequently Asked Questions (FAQ)

What is 8(16)^{7/4} ?
The solution to 8(16)^{7/4} is 1024