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Popular >

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

Solution

simplify

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

Solution

\frac{3125}{4}

+1

Decimal Notation

781.25

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{5 ^{3}}{2})^{2} = \frac{15625}{4}

= 5 \cdot \frac{\frac{15625}{4}}{5 ^{2}}

5^{2} = 25

= 5 \cdot \frac{\frac{15625}{4}}{25}

\frac{\frac{15625}{4}}{25} = \frac{625}{4}

= 5 \cdot \frac{625}{4}

5 \cdot \frac{625}{4} = \frac{3125}{4}

= \frac{3125}{4}

Popular Examples

(y-1/4)^2= 9/16

(y - \frac{1}{4})^{2} = \frac{9}{16}

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6 x^{2} + 37 x + 35

((3x)2-10)/4 =56

\frac{( 3 x ) 2 - 10}{4} = 56

simplify 1/9*8 simplify

\frac{1}{9} \cdot 8

Frequently Asked Questions (FAQ)

What is 5(((5^3)/2)/(5))^2 ?
The solution to 5(((5^3)/2)/(5))^2 is 3125/4