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Popular >

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

Solution

simplify

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

Solution

243 m^{5} n^{35}

Solution steps

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

Apply exponent rule:

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

= \frac{( 3 m ^{2} n ^{7} ) ^{5}}{m ^{5}}

Simplify

(3 m^{2} n^{7})^{5} : 243 m^{10} n^{35}

= \frac{243 m ^{10} n ^{35}}{m ^{5}}

Apply exponent rule:

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

\frac{m ^{10}}{m ^{5}} = m^{10 - 5}

= 243 n^{35} m^{10 - 5}

Subtract the numbers:

10 - 5 = 5

= 243 m^{5} n^{35}

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3 x^{3} - 7 x^{2} - 75 x + 175

Frequently Asked Questions (FAQ)

What is ((3m^2n^7)/m)^5 ?
The solution to ((3m^2n^7)/m)^5 is 243m^5n^{35}