Lesson 3: Laws of Exponents Answers
Simplify 52 · 59.
Simplify (-2x3)2 · y · y9.
1,0008 = 10ww =
24
Simplify
Simplify.(83)7 = 8nn =
21
Simplify (2xy3)4.
The area of a rectangle is represented by the expression 6x3y5. Which of the following could be the dimensions of the rectangle?
y10z5x6y7z5x7y9z5x8y18z5
3y33xy39xy39x5y3
Simplify 52 · 59.
Simplify
Simplify.(83)7 = 8nn =
21
Simplify (2xy3)4.
The area of a rectangle is represented by the expression 6x3y5. Which of the following could be the dimensions of the rectangle?
y10z5x6y7z5x7y9z5x8y18z5
3y33xy39xy39x5y3
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
To simplify the expression, I would first simplify the term in the numerator within the innermost parentheses, (2r^2t)^3. Following the order of operations (PEMDAS), I must address the innermost grouping first. Using the power of a product property and the power of a power property, I would cube each factor inside the parentheses. This results in 2^3, (r^2)^3, and t^3, which simplifies to 8r^6t^3 in the numerator.
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