# If the expression #(3^a * 2\sqrt 9)/ (27\sqrt 4) = 1#, what is the value of a?

##### 2 Answers

here

#### Explanation:

given,

#### Explanation:

Find

1) Find the square roots of 9 and 4

2) Cancel the 2 from the numerator and from the denominator

3)

4) Clear the fraction by multiplying both sides by 27 and letting the denominator cancel

5) Write 27 as

6) The bases are both 3, so the exponents are equal

7) Subtract 1 from both sides to isolate

Answer:

a = 2

...................

Check

Sub in 2 for

Given

Sub in 2

This is the same as

and it all should still equal 1

Check!