Laws of Exponents Review

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

Simplify: x^4 / 4y^3

Back

x^4 / 4y^3 (no simplification possible without additional information)

Front

What is x^-3 in terms of positive exponents?

Back

1/x^3

Front

According to the quotient law, what do we do with the exponents when dividing like bases?

Back

We subtract the exponents.

Front

Simplify: x^12 / 4y^9

Back

x^12 / 4y^9 (no simplification possible without additional information)

Front

What is the value of x^0?

Back

1 (for any x ≠ 0)

Front

What is the product of x^a and x^b?

Back

x^(a+b) (we add the exponents)

Front

What is the value of (x^a)^b?

Back

x^(a*b) (we multiply the exponents)

Front

What is the value of x^1?

Back

x (any number to the power of 1 is itself)

Front

What does x^-a equal?

Back

1/x^a (negative exponent indicates reciprocal)