The Standards Site: Intervention Strategy Secondary

Step 8 Objective

Know and use the index laws for multiplication and division of positive integer powers.

What the answer to 5 to the power of two × 5 to the power of three = ?

Convince me that 3 to the power of seven ÷ 3 to the power of two = 3 to the power of five .

What the answer to 5 to the power of two + 5 to the power of three ? Why don't the same laws apply?

If 2 × 3 to the power of n = 162, what is the value of n?

If 4 to the power of m × 4 to the power of n = 4 to the power of ten and , what are the values of m and n?