Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $7^6 \times 2^6$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{14^6}$ $\newline$ (B) $14^6$ $\newline$ (C) $14^{12}$ $\newline$ (D) $14^{36}$

View step-by-step help

View step-by-step help

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

7^6 \times 2^6

?

\newline

Choices:

\newline

(A)

\frac{1}{14^6}

\newline

(B)

14^6

\newline

(C)

14^{12}

\newline

(D)

14^{36}

Recognize bases and exponents: Step $1$ : Recognize the bases and exponents. $\newline$ We have $7^6$ and $2^6$ , where $7$ and $2$ are the bases, and both are raised to the power of $6$ .
Apply property of exponents: Step $2$ : Apply the property of exponents for multiplication $a^m \times b^m = (a\times b)^m$ . $7^6 \times 2^6 = (7\times 2)^6 = 14^6$ .
Match with choices: Step $3$ : Match the result with the given choices. $\newline$ $14^6$ corresponds to choice (B).

More problems from Identify equivalent expressions involving exponents I

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 3 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 3 months ago

Question

x^2 = 4

Posted 2 months ago

Question

x^2 = 9

Posted 4 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 4 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 4 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 4 months ago

Question

Select the equivalent expression.

\newline

((8^{-5})/(2^{-2}))^{-4}=?

\newline

1

\newline

\newline

(8^{20})/(2^{8})

\newline

\newline

(2^{6})/(8^{9})

\newline

\newline

(1)/(8\cdot 2^{2})

Posted 15 days ago

Question

Select the equivalent expression.

\newline

\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?

\newline

1

\newline

\frac{b^{21}}{4^{15}}

\newline

\frac{4^{15}}{b^{21}}

\newline

b^{-21}\cdot 4^{-15}

Posted 2 months ago

Question

Select the equivalent expression.

\newline

(3^{3}\cdot6^{6})^{-3}=

\newline

1

\newline

\frac{1}{3^{9}\cdot6^{18}}

\newline

\frac{6^{18}}{3^{9}}

\newline

\frac{3^{9}}{6^{18}}

Posted 2 months ago