In Exercises 1–8, multiply the monomials.

(3x²y⁴)(5xy⁷)

Question

In Exercises 1–8, multiply the monomials.

(3x²y⁴)(5xy⁷)

Accepted Answer

Hello, everyone. We're gonna perform multiplication for the given mono meals. We were given the parentheses. Two X raise to the fourth power Y squared multiplied by the parentheses. Six X raised to the eighth power Y. Our answer choices are a 12 x rays to the 32nd power y cubed B 12 X raised to the 12th power Y squared C 12 X rays to the 12 power Y cubed D 12 X squared Y cubed. I'm gonna rewrite my original mono meals. So in parentheses, I have two X raise the fourth power Y squared multiplied by six X raised the 8th power y also in parentheses, recall them. When we multiply monos, we're gonna multiply like bases. So in this case, two and six are considered a like base because they are constants two times six is 12. So that's the first part of our answer. Next like base would be the base of X. So we have an X raise to the fourth power and then we have an X raise to the eighth power. Recall when you multiply like bases, you add their exponents. So this will give us X rays to the 12th power. Next, I have the base of Y, I have Y squared. And why? That they don't show you the exponent. And when they do not show you the exponent recall that, that means the exponent is one. So this is like saying Y squared time multiplied by Y to the first. And when I multiply, I add my exponents, keep my base. So I'll have Y cubed or to the third power. So my answer is 12 x raised to the 12th power y cubed, which is answer choice. C have a nice day.

In Exercises 1–8, multiply the monomials. (3x²y⁴)(5xy⁷)

Key Concepts

Monomials

Multiplication of Monomials

Exponent Rules

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