Laws of Exponents

Front

What is the law of exponents for multiplying the same base?

Back

When multiplying the same base, you add the exponents.

Front

What is the law of exponents for dividing the same base?

Back

When dividing the same base, you subtract the exponents.

Front

What happens when you raise a power to a power?

Back

You multiply the exponents.

Front

Simplify: x^3 * x^4

Back

x^7

Front

Simplify: x^5 / x^2

Back

x^3

Front

Simplify: (x^2)^3

Back

x^6

Front

What is the value of x^0?

Back

x^0 = 1, for any x ≠ 0.

Front

What is the law of exponents for a negative exponent?

Back

A negative exponent indicates the reciprocal: x^-n = 1/x^n.

Front

Simplify: xy^-3

Back

x/y^3

Front

Simplify: (2x^3)^2

Back

4x^6