Simplifying Exponents

Front

What is the quotient rule for exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself.

Front

Evaluate: 3^4 / 3^2

Back

3^(4-2) = 3^2 = 9.

Front

What is the value of any number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is 1.

Front

Simplify: (5^3 * x^2 * y^4)^0

Back

1.

Front

What does (a^m)^n equal?

Back

a^(m*n).

Front

Simplify: (8y^3)^6

Back

8^6 * y^(3*6) = 8^6 * y^18.

Front

What is the result of x^14 * x^3?

Back

x^(14+3) = x^17.

Front

What is the result of (x^5)^2?

Back

x^(5*2) = x^10.

Front

Evaluate: 2^3 * 2^2

Back

2^(3+2) = 2^5 = 32.