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# simplify

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simplify

(8𝑥6𝑦4)(5𝑥5𝑦12)

Mar 24, 2021

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I'll assume you mean $$(8x^6y^5)(5x^5y^{12})$$. this can be expressed as $$8 \cdot 5 \cdot x^6 \cdot x^5 \cdot y^4 \cdot y^{12}$$

$$8$$ times $$5$$ is $$40$$

using a law of exponents which states that $$a^n \cdot a^m = a^{n + m}$$, we can write $$x^6 \cdot x^5 = x^{11}$$ and $$y^4 \cdot y^{12} = y^{16}$$.

so, we have $$40 \cdot x^{11} \cdot y^{16} = 40x^{11}y^{16}$$

and there you have it

Mar 24, 2021