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Popular >

simplify ((5/2)^2)^3

Solution

simplify

((\frac{5}{2})^{2})^{3}

Solution

\frac{15625}{64}

+1

Solution steps

((\frac{5}{2})^{2})^{3}

Apply exponent rule:

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

= (\frac{5}{2})^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= (\frac{5}{2})^{6}

Apply exponent rule:

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

= \frac{5 ^{6}}{2 ^{6}}

5^{6} = 15625

= \frac{15625}{2 ^{6}}

2^{6} = 64

= \frac{15625}{64}

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Frequently Asked Questions (FAQ)

What is ((5/2)^2)^3 ?
The solution to ((5/2)^2)^3 is 15625/64