Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using positive exponents.\newline4z22z2\frac{4z^2}{2z^2}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify exponential expressions using the multiplication ruleright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline4z22z2\frac{4z^2}{2z^2}
  1. Divide and Subtract: Simplify the expression by dividing the coefficients and subtracting the exponents of like bases.\newlineCalculation: 4z22z2=42⋅z2z2 \frac{4z^2}{2z^2} = \frac{4}{2} \cdot \frac{z^2}{z^2}
  2. Simplify Coefficients and Powers: Simplify the coefficients and the powers of z.\newlineCalculation: 42=2 \frac{4}{2} = 2 and z2z2=z2−2=z0 \frac{z^2}{z^2} = z^{2-2} = z^0
  3. Recall Exponent Rule: Recall that any non-zero number raised to the power of 00 is 11.\newlineCalculation: z0=1 z^0 = 1
  4. Combine Results: Combine the results from the previous steps.\newlineCalculation: 2⋅1=2 2 \cdot 1 = 2

More problems from Simplify exponential expressions using the multiplication rule

Question
Evaluate.\newline22=2^2 = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate. Write your answer as a fraction or whole number.\newline(14)4(\frac{1}{4})^4 = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Which is equal to 9−619^{-61}?\newlineChoices:\newline1(−9)−61\frac{1}{(-9)^{-61}}\newline(−9)−61(-9)^{-61}\newline(−9)61(-9)^{61}\newline1(961)\frac{1}{(9^{61})}
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. \newlineExpress your answer using positive exponents.\newline r5⋅r8r^5 \cdot r^8
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using a single exponent.\newline(h2)6(h^2)^6\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using positive exponents.\newline(2v3)(4v)(5v)(2v^3)(4v)(5v)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using a single exponent.\newline(5z8)2(5z^8)^2\newline_____________
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using positive exponents.\newliner9⋅r8⋅r-5 r^9 \cdot r^8 \cdot r^{\text{-}5} \newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Which expression is equivalent to 6×686 \times 6^8?\newlineChoices:\newline169\frac{1}{6^9}\newline686^8\newline168\frac{1}{6^8}\newline696^9
Get tutor helpright-arrow

Posted 1 month ago

View all (88)