Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using a single exponent. $\newline$ $(v^{7})^{8}$

View step-by-step help

View step-by-step help

Simplify exponential expressions using exponent rules

Full solution

Q. Simplify. Express your answer using a single exponent.

\newline

(v^{7})^{8}

Exponentiation Explanation: $(v^7)^8$ means we're raising $v$ to the $7$ th power and then raising the result to the $8$ th power.
Apply Exponent Rule: To simplify, we multiply the exponents because $(v^a)^b = v^{a*b}$ . So, $(v^7)^8 = v^{7*8}$ .
Calculate Result: Now, calculate $7\times8$ which is $56$ . So, $(v^7)^8 = v^{56}$ .
Final Answer: There's no more simplification needed, so $v^{56}$ is the final answer.

More problems from Simplify exponential expressions using exponent rules

Question

\newline

2^2 =

Posted 1 year ago

Question

Evaluate. Write your answer as a fraction or whole number.

\newline

(\frac{1}{4})^4

Posted 9 months ago

Question

Which is equal to

9^{-61}

Posted 9 months ago

Question

\newline

Express your answer using positive exponents.

\newline

r^5 \cdot r^8

Posted 9 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(h^2)^6

\newline

Posted 9 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

(9p^5)(5p^8)

\newline

Posted 9 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

(2v^3)(4v)(5v)

\newline

Posted 1 year ago

Question

Simplify. Express your answer using a single exponent.

\newline

(5z^8)^2

\newline

Posted 9 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

r^9 \cdot r^8 \cdot r^{\text{-}5}

\newline

Posted 9 months ago

Question

Which expression is equivalent to

6 \times 6^8

\newline

\newline

\frac{1}{6^9}

\newline

6^8

\newline

\frac{1}{6^8}

\newline

6^9

Posted 1 year ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant