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:

Which expression is equivalent to (58)7(5^8)^7?\newlineChoices:\newline(A) 1515\frac{1}{5^{15}}\newline(B) 5155^{15}\newline(C) 5565^{56}\newline(D) 1556\frac{1}{5^{56}}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Identify equivalent exponential expressions IIright chevron icon

Full solution

Q. Which expression is equivalent to (58)7(5^8)^7?\newlineChoices:\newline(A) 1515\frac{1}{5^{15}}\newline(B) 5155^{15}\newline(C) 5565^{56}\newline(D) 1556\frac{1}{5^{56}}
  1. Apply Power Rule: When raising a power to a power, we multiply the exponents.\newline(58)7=5(8×7)(5^8)^7 = 5^{(8\times7)}
  2. Calculate Exponents: Calculate the product of the exponents. 58×7=5565^{8\times7} = 5^{56}
  3. Compare with Choices: Compare the result with the given choices.\newlineThe expression 5565^{56} matches choice (C).

More problems from Identify equivalent exponential expressions II

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 (36)