Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $3^5 \times 3^9$ ? $\newline$ Choices: $\newline$ (A) $3^{45}$ $\newline$ (B) $\frac{1}{3^{45}}$ $\newline$ (C) $3^{14}$ $\newline$ (D) $\frac{1}{3^{14}}$

View step-by-step help

View step-by-step help

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

3^5 \times 3^9

?

\newline

Choices:

\newline

(A)

3^{45}

\newline

(B)

\frac{1}{3^{45}}

\newline

(C)

3^{14}

\newline

(D)

\frac{1}{3^{14}}

Identify Base and Exponents: Identify the base and the exponents. $\newline$ In $3^5$ and $3^9$ , $3$ is the base raised to the exponents $5$ and $9$ respectively. $\newline$ Base: $3$ $\newline$ Exponents: $5$ , $9$
Rewrite Expression as Single Power: Given expression: $3^5 \times 3^9$ $\newline$ Rewrite this expression as a single power of $3$ . $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $3^5 \times 3^9$ $\newline$ $= 3^{5+9}$ $\newline$ $= 3^{14}$
Choose Equivalent Expression: Choose the equivalent expression for $3^5 \times 3^9$ . From the previous step, we have determined that $3^5 \times 3^9$ is equal to $3^{14}$ . Therefore, the equivalent expression is $3^{14}$ .

More problems from Identify equivalent expressions involving exponents I

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 2 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 2 months ago

Question

x^2 = 4

Posted 1 month ago

Question

x^2 = 9

Posted 3 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 3 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 3 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 3 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 4 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 1 month 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 1 month ago