What is factor (15a^8b^3)/(45a^7b) ?

The solution to factor (15a^8b^3)/(45a^7b) is (ab^2)/3

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factor (15a^8b^3)/(45a^7b)

factor

\frac{15 a ^{8} b ^{3}}{45 a ^{7} b}

\frac{a b ^{2}}{3}

Solution steps

\frac{15 a ^{8} b ^{3}}{45 a ^{7} b}

Cancel the common factor:

15

= \frac{a ^{8} b ^{3}}{3 a ^{7} b}

Apply exponent rule:

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

\frac{a ^{8}}{a ^{7}} = a^{8 - 7}

= \frac{b ^{3} a ^{8 - 7}}{3 b}

Subtract the numbers:

8 - 7 = 1

= \frac{a b ^{3}}{3 b}

Cancel the common factor:

b

= \frac{a b ^{2}}{3}

9 w - 126 = 45

x^{2} - 4 \leq - 2

9 x^{2} - 18 x = 7

n^{2} + 7 n + 12

\frac{r}{3} - 2 = - 5

What is factor (15a^8b^3)/(45a^7b) ?
The solution to factor (15a^8b^3)/(45a^7b) is (ab^2)/3