Multiplying and Dividing Exponents

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

What does it mean to multiply exponents with the same base?

Back

When multiplying exponents with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the rule for dividing exponents with the same base?

Back

When dividing exponents with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is the value of (-2)²?

Back

The value of (-2)² is 4.

Front

How do you simplify (-2)³ * (-2)⁶?

Back

You add the exponents: (-2)³ * (-2)⁶ = (-2)^(3+6) = (-2)⁹.

Front

What is the result of (3²) * (3⁴)?

Back

The result is 3^(2+4) = 3⁶.

Front

What is the result of (5³) / (5²)?

Back

The result is 5^(3-2) = 5¹ = 5.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

How do you simplify (x²)³?

Back

You multiply the exponents: (x²)³ = x^(2*3) = x⁶.