Exponents & Exponent Properties

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent.

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, x^(-n) = 1/(x^n).

Front

Simplify: 4^(-2)

Back

1/16

Front

Rewrite using a positive exponent: 2w^(-13)

Back

2/w^13

Front

What is any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is equal to 1. For example, 5^0 = 1.

Front

Simplify: -4x^0

Back

-4

Front

What is the value of x^(-6)?

Back

1/x^6

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, add the exponents. For example, x^a * x^b = x^(a+b).

Front

What is the quotient of two powers with the same base?

Back

When dividing two powers with the same base, subtract the exponents. For example, x^a / x^b = x^(a-b).

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents. For example, (x^a)^b = x^(a*b).