Laws of exponents

Front

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

Back

1

Front

State the quotient rule of exponents.

Back

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

Front

Simplify: 9^9 ÷ 9^5

Back

9^4

Front

What is the value of x^m ÷ x^n?

Back

x^(m-n) when x is not equal to 0.

Front

Simplify: (2a^7) ÷ (2a^3)

Back

a^4

Front

What does a negative exponent represent?

Back

a^(-n) = 1/a^n.

Front

Simplify: x^5 ÷ x^2

Back

x^3

Front

What is the product rule of exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m × a^n = a^(m+n).

Front

Simplify: (xy^2)^3

Back

x^3y^6.

Front

What is the value of (-3)^0?

Back

1.