Exponents

Ontario 09 Academic (MPM1D)

Division law with integer bases

We want to evaluate $3^8\div3^5$38÷35 by first evaluating each term in the quotient separately.

a

First, find the value of $3^8$38.

b

Now, find the value of $3^5$35.

c

Use your answers to the previous parts to find the value of $3^8\div3^5$38÷35.

d

Use your answer to part (c) to simplify $3^8\div3^5$38÷35.

$3^8\div3^5$38÷35$=$=$3^{\editable{}}$3

Easy

Approx 2 minutes

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Derive, through the investigation and examination of patterns, the exponent rules for multiplying and dividing monomials, and apply these rules in expressions involving one and two variables with positive exponents