Product and Quotient of Powers Properties

Front

What do you do to the exponents when multiplying two powers with the same base?

Back

You add the exponents.

Front

Simplify the expression: b^2 ⋅ b^4

Back

b^6

Front

How can you express 9 ⋅ 9 ⋅ 9 ⋅ 9 using an exponent?

Back

9^4

Front

What do you do to the exponents when dividing two powers with the same base?

Back

You subtract the exponents.

Front

Simplify the expression: 6^8 / 6^3

Back

6^(8-3) = 6^5.

Front

What is the product of powers property?

Back

When multiplying powers with the same base, you add the exponents.

Front

What is the quotient of powers property?

Back

When dividing powers with the same base, you subtract the exponents.

Front

If a^m ⋅ a^n = a^x, what is x in terms of m and n?

Back

x = m + n.

Front

If a^m / a^n = a^y, what is y in terms of m and n?

Back

y = m - n.

Front

What is the value of 5^0?

Back

1 (any non-zero number raised to the power of 0 is 1).