Exponent Properties

Front

What is the property of exponents that states a negative exponent can be rewritten as a positive exponent?

Back

Negative Exponent Rule: a^(-n) = 1/(a^n)

Front

What is the base in the expression 5^4 = 625?

Back

The base is 5.

Front

Simplify the expression: 3x^(-2)

Back

1/(3x^2)

Front

What is the result of x^3 * x^2?

Back

x^(3+2) = x^5

Front

What is the result of (x^4)/(x^2)?

Back

x^(4-2) = x^2

Front

Rewrite using positive exponents: 1/y^(-3)

Back

y^3

Front

What is the product of a^m and a^n?

Back

a^(m+n) (Product of Powers Rule)

Front

What is the quotient of a^m and a^n?

Back

a^(m-n) (Quotient of Powers Rule)

Front

Simplify the expression: (2x^3y)/(4xy^2)

Back

(1/2)x^(3-1)y^(1-2) = (1/2)x^2/y

Front

What is the power of a power rule?

Back

(a^m)^n = a^(m*n)