Exercise 110 Page 373

Practice makes perfect

We want to simplify the algebraic expression by using the Laws of Exponents. (x^2)(x^5) In this case, we will use the Product of Powers Law. This law states that to multiply powers with the same base, we can add their exponents.

(x^2)(x^5)

MultPow

a^m*a^n=a^(m+n)

x^(2+5)

AddTerms

Add terms

x^7

Let's consider the given expression. y^7/y^4 We are asked to simplify the expression by using the Laws of Exponents. Let's use the Quotient of Powers Law. This law states that to divide powers with the same base, we can subtract their exponents.

y^7/y^4

DivPow

a^m/a^n= a^(m-n)

y^(7-4)

SubTerm

Subtract term

y^3

We are asked to simplify the given expression by using the Laws of Exponents. x^3 * x^4 Like in Part A, we will do this by using the Product of Powers Law. Let's do it!

x^3 * x^4

MultPow

a^m*a^n=a^(m+n)

x^(3+4)

AddTerms

Add terms

x^7

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