Multiplying & Dividing with Exponents

Front

What happens to the exponents when we multiply two powers with the same base?

Back

We add the exponents.

Front

What happens to the exponents when we divide two powers with the same base?

Back

We subtract the exponents.

Front

What is the result of x⁵ / x³?

Back

x²

Front

What is the correct way to solve 3⁵ ∙ 3⁴?

Back

Keep the base and add the exponents: 3^(5+4) = 3⁹.

Front

What is the result of x⁴ (x¹²)?

Back

x¹⁶

Front

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

Back

x = m + n.

Front

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

Back

x = m - n.

Front

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

Back

2^5 = 32.

Front

What is the value of (5^4) / (5^2)?

Back

5^2 = 25.

Front

If 10^3 * 10^2 = 10^x, what is x?

Back

x = 5.