Simplify: (6z^(3))(2z^(4)) Answer:

Identify Properties: Identify the properties of exponents to use. When multiplying two exponential expressions with the same base, you add the exponents. This is due to the property of exponents that states (a^m)(a^n) = a^(m+n).Apply Property: Apply the property of exponents to the given expression. (6z^(3))(2z^(4)) = 6 * 2 * z^(3+4)Perform Multiplication: Perform the multiplication of the coefficients and add the exponents. 6 * 2 = 12 and 3 + 4 = 7, so the expression becomes 12z^(7).Check Simplification: Check for any possible simplification. The expression 12z^(7) is already in its simplest form, as there are no like terms to combine or further simplification to perform.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: $\newline$ $\left(6 z^{3}\right)\left(2 z^{4}\right)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Simplify variable expressions using properties

Full solution

Q. Simplify:

\newline

\left(6 z^{3}\right)\left(2 z^{4}\right)

\newline

Answer:

Identify Properties: Identify the properties of exponents to use. $\newline$ When multiplying two exponential expressions with the same base, you add the exponents. This is due to the property of exponents that states $(a^m)(a^n) = a^{(m+n)}$ .
Apply Property: Apply the property of exponents to the given expression. $\newline$ $(6z^{3})(2z^{4}) = 6 \times 2 \times z^{3+4}$
Perform Multiplication: Perform the multiplication of the coefficients and add the exponents. $6 \times 2 = 12$ and $3 + 4 = 7$ , so the expression becomes $12z^{7}$ .
Check Simplification: Check for any possible simplification. $\newline$ The expression $12z^{7}$ is already in its simplest form, as there are no like terms to combine or further simplification to perform.