What is ((5^2)^3)/((5^3)^7) ?

The solution to ((5^2)^3)/((5^3)^7) is 1/(5^{15)}

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simplify ((5^2)^3)/((5^3)^7)

simplify

\frac{( 5 ^{2} ) ^{3}}{( 5 ^{3} ) ^{7}}

\frac{1}{5 ^{15}}

Decimal Notation

3.2768 E - 11

Solution steps

\frac{( 5 ^{2} ) ^{3}}{( 5 ^{3} ) ^{7}}

\frac{( 5 ^{2} ) ^{3}}{( 5 ^{3} ) ^{7}} = \frac{15625}{5 ^{21}}

= \frac{15625}{5 ^{21}}

Factor the number:

15625 = 5^{6}

= \frac{5 ^{6}}{5 ^{21}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

= \frac{1}{5 ^{21 - 6}}

Subtract the numbers:

21 - 6 = 15

= \frac{1}{5 ^{15}}

4 x^{2} + 2 x^{2}

\frac{3}{5 - 2}

x^{3} - 64 x^{4}

m x^{2 m + 3} + 3 x^{m + 5}