Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using positive exponents.\newline(9m2)(3m7)(9m^2)(3m^7)

Full solution

Q. Simplify. Express your answer using positive exponents.\newline(9m2)(3m7)(9m^2)(3m^7)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 9m29m^2 and 3m73m^7, which can be multiplied together. We will group the coefficients (99 and 33) and the powers of mm (m2m^2 and m7m^7) separately.
  2. Multiply Coefficients: Multiply the coefficients.\newlineCalculate 99 multiplied by 33.\newline9×3=279 \times 3 = 27
  3. Combine Powers: Combine the powers of mm.\newlineWhen multiplying powers with the same base, we add the exponents.\newlinem2×m7=m(2+7)=m9m^2 \times m^7 = m^{(2+7)} = m^9
  4. Write Simplest Form: Write the expression in its simplest form.\newlineCombine the results from Step 22 and Step 33.\newline(9m2)(3m7)=27m9(9m^2)(3m^7) = 27m^9

More problems from Simplify exponential expressions using the multiplication rule