What is (45e^6f^8)/(5ef^2) ?

The solution to (45e^6f^8)/(5ef^2) is 9e^5f^6

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simplify (45e^6f^8)/(5ef^2)

simplify

\frac{45 e ^{6} f ^{8}}{5 e f ^{2}}

9 e^{5} f^{6}

Solution steps

\frac{45 e ^{6} f ^{8}}{5 e f ^{2}}

Divide the numbers:

\frac{45}{5} = 9

= \frac{9 e ^{6} f ^{8}}{e f ^{2}}

Cancel the common factor:

e

= \frac{9 e ^{5} f ^{8}}{f ^{2}}

Apply exponent rule:

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

\frac{f ^{8}}{f ^{2}} = f^{8 - 2}

= 9 e^{5} f^{8 - 2}

Subtract the numbers:

8 - 2 = 6

= 9 e^{5} f^{6}

(12)^{2} + (5)^{2}

6 (8 m + 5 n - 10)

- 6 4^{\frac{2}{5}}

- 3 x - 4 x

(6 w - 2 x^{2})^{2}