Multiplying and Dividing with Exponents of the same base

Front

What happens to the exponents when multiplying with exponents of the same base?

Back

We add the exponents.

Front

What is the Product of Powers Rule?

Back

The Product of Powers Rule states that when multiplying the same bases, we add the exponents.

Front

Evaluate: 9^5 * 9^9

Back

9^14 (which simplifies to 9^5 when using the quotient rule).

Front

Evaluate: x^4 * x^12

Back

x^16.

Front

What is the Quotient Rule for exponents?

Back

When dividing with exponents of the same base, we subtract the exponents.

Front

Evaluate: 9^9 / 9^5

Back

9^4.

Front

If a^m * a^n = a^x, what is x?

Back

x = m + n.

Front

If a^5 / a^2 = a^y, what is y?

Back

y = 5 - 2 = 3.

Front

What is the value of 2^3 * 2^2?

Back

2^5.

Front

What is the value of 3^4 / 3^2?

Back

3^2.