Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $7^5 \times 2^5$ ? $\newline$ Choices: $\newline$ (A) $14^{25}$ $\newline$ (B) $14^{10}$ $\newline$ (C) $\frac{1}{14^5}$ $\newline$ (D) $14^5$

View step-by-step help

View step-by-step help

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

7^5 \times 2^5

?

\newline

Choices:

\newline

(A)

14^{25}

\newline

(B)

14^{10}

\newline

(C)

\frac{1}{14^5}

\newline

(D)

14^5

Apply Rule for Multiplying Powers: Apply the rule for multiplying powers with the same exponent but different bases. $\newline$ According to the rule $(a^m)\cdot(b^m) = (a\cdot b)^m$ , we can combine the bases and keep the exponent the same. $\newline$ So, $7^5 \cdot 2^5$ becomes $(7\cdot2)^5$ .
Calculate Product of Bases: Calculate the product of the bases. $\newline$ Multiply the bases $7$ and $2$ to get $14$ . $\newline$ $7 \times 2 = 14$
Apply Exponent to Product: Apply the product of the bases to the exponent. $\newline$ Now that we have the product of the bases, we apply the exponent $5$ to it. $\newline$ $(7\times2)^5 = 14^5$
Match Result with Choices: Match the result with the given choices. $\newline$ The expression $14^5$ matches with choice (D).

More problems from Identify equivalent exponential expressions II

Question

\newline

2^2 =

Posted 2 months ago

Question

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

\newline

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

Posted 2 months ago

Question

Which is equal to

9^{-61}

\newline

\newline

\frac{1}{(-9)^{-61}}

\newline

(-9)^{-61}

\newline

(-9)^{61}

\newline

\frac{1}{(9^{61})}

Posted 1 month ago

Question

\newline

Express your answer using positive exponents.

\newline

r^5 \cdot r^8

Posted 2 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(h^2)^6

\newline

Posted 1 month ago

Question

Simplify. Express your answer using positive exponents.

\newline

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

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

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

\newline

Posted 2 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(5z^8)^2

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

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

\newline

Posted 2 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 month ago