Which of the following expressions is equivalent to the one shown below?

A (7^6)

Step-by-step explanation:

Step 1: Find the property of 7^13/7^7

b^m/b^n=b^m-n

Therefore, when the numerator and denominator are the same number, the powers can be subtracted to simplify the answer.

Step 2: Apply the property to the question

7^13/7^7 = 7^13-7

=7^6

Hence, option A is the correct answer.

!!

The equivalent expression is ⇒ answer A

Step-by-step explanation:

* Lets revise some rules of the exponents

- In the exponential functions we have some rules

# In multiplication if we have same base then add the power

  b^m  ×  b^n  =  b^(m + n)  

- Ex:

# In division if we have same base we subtract the power

  b^m  ÷  b^n =  b^(m – n)

- Ex:

* Now lets solve the problem

- There is the expression

- We have base 7 up and down

∵ In division if we have same base we subtract the power

∵ The base up is 7 and the base down is 7

- We will subtract the powers

∴

∴ The answer is

* The equivalent expression is

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!