Multiplying Exponents

Front

What is the product of two exponents with the same base?

Back

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

Tags

CCSS.8.EE.A.1

Front

How do you multiply a coefficient with a variable raised to an exponent?

Back

Multiply the coefficients together and keep the variable with the exponent. For example, 4x^2 * 3x = (4*3)x^(2+1) = 12x^3.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying two identical bases raised to the same exponent?

Back

The result is the base raised to the sum of the exponents. For example, a^n * a^n = a^(n+n) = a^(2n).

Tags

CCSS.8.EE.A.1

Front

What is the product of 4^2 and 4^2?

Back

4^2 * 4^2 = 4^(2+2) = 4^4.

Tags

CCSS.8.EE.A.1

Front

How do you simplify the expression 3^2 * 3^2?

Back

3^2 * 3^2 = 3^(2+2) = 3^4.

Tags

CCSS.8.EE.A.1

Front

What is the product of a variable raised to an exponent and the same variable?

Back

When multiplying a variable raised to an exponent by the same variable, you add the exponents. For example, k^2 * k = k^(2+1) = k^3.

Tags

CCSS.8.EE.A.1

Front

How do you multiply coefficients and variables with the same exponent?

Back

Multiply the coefficients and keep the variable with the exponent. For example, 2n^4 * 6n^4 = (2*6)n^(4+4) = 12n^8.

Tags

CCSS.8.EE.A.1

Front

What is the general rule for multiplying exponents?

Back

The general rule is: a^m * a^n = a^(m+n) for any base 'a' and exponents 'm' and 'n'.

Tags

CCSS.8.EE.A.1

Front

What happens when you multiply a number raised to an exponent by itself?

Back

When you multiply a number raised to an exponent by itself, you double the exponent. For example, a^n * a^n = a^(n+n) = a^(2n).

Tags

CCSS.8.EE.A.1

Front

What is the result of multiplying 6k^2 by k?

Back

6k^2 * k = 6k^(2+1) = 6k^3.

Tags

CCSS.HSA.APR.A.1