Properties of Exponents

Front

When multiplying powers of the same base, such as (x^2)(x), you will _____________ the exponents.

Back

Add

Front

When raising a power to a power, such as (x^3)^5, you will __________ the exponents.

Back

Multiply

Front

Simplify (3x^3y^5)^4.

Back

81x^12y^20

Front

What is the property of exponents that states a^m * a^n = a^(m+n)?

Back

Product of Powers Property

Front

What is the property of exponents that states (a^m)^n = a^(m*n)?

Back

Power of a Power Property

Front

What is the property of exponents that states a^m / a^n = a^(m-n)?

Back

Quotient of Powers Property

Front

What is the value of x if x^0 = 1?

Back

Any non-zero number.

Front

What happens to the exponent when you raise a product to a power, such as (ab)^n?

Back

You distribute the exponent: (ab)^n = a^n * b^n.

Front

What is the value of 2^3?

Back

8

Front

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

Back

x^6