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Popular >

simplify 2^8*(5/2)^4

Solution

simplify

2^{8} \cdot (\frac{5}{2})^{4}

Solution

10000

Solution steps

2^{8} (\frac{5}{2})^{4}

2^{8} = 256

= 256 (\frac{5}{2})^{4}

Apply exponent rule:

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

(\frac{5}{2})^{4} = \frac{5 ^{4}}{2 ^{4}}

= 256 \cdot \frac{5 ^{4}}{2 ^{4}}

5^{4} = 625

= 256 \cdot \frac{625}{2 ^{4}}

2^{4} = 16

= 256 \cdot \frac{625}{16}

256 \cdot \frac{625}{16} = 10000

= 10000

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Frequently Asked Questions (FAQ)

What is 2^8*(5/2)^4 ?
The solution to 2^8*(5/2)^4 is 10000