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Apply the property of the quotient of two powers with the same exponent, inversely: $\frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m$, where $m$ equals $5$
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$\left(\frac{d}{dx}\right)^5y=\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)$
Learn how to solve equations problems step by step online. Solve the equation (d^5y)/(dx^5)=(x+1)(x+2)(x+3)(x+4). Apply the property of the quotient of two powers with the same exponent, inversely: \frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m, where m equals 5. Divide both sides of the equation by \left(\frac{d}{dx}\right)^5. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Divide fractions \frac{\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)}{\frac{d^5}{dx^5}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.
