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Popular >

simplify ((5^4*5^2)^3)/((5^3)^3)

Solution

simplify

\frac{( 5 ^{4} \cdot 5 ^{2} ) ^{3}}{( 5 ^{3} ) ^{3}}

Solution

1953125

Solution steps

\frac{( 5 ^{4} \cdot 5 ^{2} ) ^{3}}{( 5 ^{3} ) ^{3}}

(5^{3})^{3} = 5^{9}

= \frac{( 5 ^{4} \cdot 5 ^{2} ) ^{3}}{5 ^{9}}

(5^{4} \cdot 5^{2})^{3} = 5^{12} \cdot 15625

= \frac{5 ^{12} \cdot 15625}{5 ^{9}}

\frac{5 ^{12}}{5 ^{9}} = 5^{3}

= 5^{3} \cdot 15625

5^{3} \cdot 15625 = 1953125

= 1953125

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Frequently Asked Questions (FAQ)

What is ((5^4*5^2)^3)/((5^3)^3) ?
The solution to ((5^4*5^2)^3)/((5^3)^3) is 1953125