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).

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.

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).

Front

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

Back

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

Front

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

Back

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

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.

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.

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'.

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).

Front

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

Back

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