What is (45x^9y^8)/(-3x^7y^4) ?

The solution to (45x^9y^8)/(-3x^7y^4) is -15x^2y^4

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simplify (45x^9y^8)/(-3x^7y^4)

simplify

\frac{45 x ^{9} y ^{8}}{- 3 x ^{7} y ^{4}}

- 15 x^{2} y^{4}

Solution steps

\frac{45 x ^{9} y ^{8}}{- 3 x ^{7} y ^{4}}

Apply the fraction rule:

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

= - \frac{45 x ^{9} y ^{8}}{3 x ^{7} y ^{4}}

Divide the numbers:

\frac{45}{3} = 15

= \frac{15 x ^{9} y ^{8}}{x ^{7} y ^{4}}

Apply exponent rule:

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

\frac{x ^{9}}{x ^{7}} = x^{9 - 7}

= \frac{15 y ^{8} x ^{9 - 7}}{y ^{4}}

Subtract the numbers:

9 - 7 = 2

= \frac{15 x ^{2} y ^{8}}{y ^{4}}

Apply exponent rule:

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

\frac{y ^{8}}{y ^{4}} = y^{8 - 4}

= 15 x^{2} y^{8 - 4}

Subtract the numbers:

8 - 4 = 4

= - 15 x^{2} y^{4}

i^{127} - 5 i^{9} + 2 i^{- 1}

x^{2} - 13 x \geq - 36

x^{2} - 6 x + 8

- 4 x + 17 < 4 (x + 4) - 7 x

x^{2} - 7 \geq 0

What is (45x^9y^8)/(-3x^7y^4) ?
The solution to (45x^9y^8)/(-3x^7y^4) is -15x^2y^4