Simplify. Express your answer using positive exponents. (8a^3)(3a^6)(5a^6) ______

Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms. We have 8, 3, and 5 as coefficients. Multiplying these gives us: 8 * 3 * 5 = 24 * 5 = 120Apply Product Rule: Apply the product rule for exponents to the variables. The product rule states that when multiplying powers with the same base, we add the exponents. a^3 * a^6 * a^6 = a^(3+6+6) = a^15Combine Results: Combine the results from Step 1 and Step 2 to get the final expression. The final expression is the product of the numerical part and the variable part: 120 * a^15

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using positive exponents. $\newline$ $(8a^3)(3a^6)(5a^6)$

View step-by-step help

Home

Math Problems

Grade 8

Multiply and divide powers: variable bases

Full solution

Q. Simplify. Express your answer using positive exponents.

\newline

(8a^3)(3a^6)(5a^6)

Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms. $\newline$ We have $8$ , $3$ , and $5$ as coefficients. Multiplying these gives us: $\newline$ $8 \times 3 \times 5 = 24 \times 5 = 120$
Apply Product Rule: Apply the product rule for exponents to the variables. $\newline$ The product rule states that when multiplying powers with the same base, we add the exponents. $\newline$ $a^3 \times a^6 \times a^6 = a^{(3+6+6)} = a^{15}$
Combine Results: Combine the results from Step $1$ and Step $2$ to get the final expression. $\newline$ The final expression is the product of the numerical part and the variable part: $\newline$ $120 \times a^{15}$