Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $10^6 \times 5^6$ ? $\newline$ Choices: $\newline$ (A) $50^{12}$ $\newline$ (B) $\frac{1}{50^6}$ $\newline$ (C) $50^6$ $\newline$ (D) $50^{36}$

View step-by-step help

View step-by-step help

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

10^6 \times 5^6

?

\newline

Choices:

\newline

(A)

50^{12}

\newline

(B)

\frac{1}{50^6}

\newline

(C)

50^6

\newline

(D)

50^{36}

Identify Bases and Exponents: Identify the base and the exponents in the given expression. $\newline$ In $10^6 \times 5^6$ , $10$ and $5$ are the bases raised to the exponent $6$ respectively. $\newline$ Base: $10$ , $5$ $\newline$ Exponents: $6$ , $6$
Rewrite Using Exponent Property: Rewrite the expression using the property of exponents for multiplication. $\newline$ We can combine the bases by multiplying them since they are raised to the same power. $\newline$ $10^6 \times 5^6 = (10\times5)^6$
Calculate Base Product: Calculate the product of the bases. $\newline$ $10 \times 5 = 50$ $\newline$ So, $(10\times5)^6 = 50^6$
Match with Given Choices: Match the result with the given choices. $\newline$ The expression $10^6 \times 5^6$ is equivalent to $50^6$ .

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