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. \newline2z2(2z9)(z6)\frac{2z^2}{(2z^9)(z^6)}

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 and division rulesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline2z2(2z9)(z6)\frac{2z^2}{(2z^9)(z^6)}
  1. Rewrite and Combine Terms: First, rewrite the expression to make it easier to handle. Combine the terms in the denominator. \newline2z22z9⋅z6\frac{2z^2}{2z^9 \cdot z^6}
  2. Multiply Exponents: Next, multiply the exponents in the denominator. When multiplying with the same base, add the exponents.\newline2z9×z6=2z9+6=2z152z^9 \times z^6 = 2z^{9+6} = 2z^{15}
  3. Simplify by Dividing: Now, simplify the expression by dividing the terms. When dividing powers with the same base, subtract the exponents. \newline2z22z15=(22)⋅z(2−15)=z−13\frac{2z^2}{2z^{15}} = \left(\frac{2}{2}\right) \cdot z^{(2-15)} = z^{-13}
  4. Rewrite Negative Exponent: Since the problem asks for positive exponents, rewrite the negative exponent as a positive exponent in the denominator.\newlinez−13=1z13z^{-13} = \frac{1}{z^{13}}

More problems from Simplify exponential expressions using the multiplication and division rules

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

Posted 3 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 3 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 2 months ago

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

Posted 3 months ago

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

Posted 2 months ago

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

Posted 3 months ago

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

Posted 3 months ago

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

Posted 3 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 3 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 2 months ago

View all (58)