Multiplication and Division of 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

Simplify: 4y^10 / 2y^4

Back

2y^6

Front

Simplify: c^6 ⋅ c^4

Back

c^{10}

Front

Simplify: 7^6 / 7^2

Back

7^4

Front

What is the value of x if x^3 ⋅ x^2 = x^5?

Back

x = x^5 (the exponents are added).

Front

Simplify: (y^5)^2

Back

y^{10} (multiply the exponents).

Front

What is the result of 5^0?

Back

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

Front

Simplify: 3^4 / 3^4

Back

1 (any number divided by itself is 1).

Front

What is the product of 2^3 and 2^2?

Back

2^5 (add the exponents).