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HELP ME PLS EXPLAIN I DONT KNOW HOW TO DO THIS

HELP ME PLS EXPLAIN I DONT KNOW HOW TO DO THIS-example-1

2 Answers

3 votes
Answer is 8

Step by step

Rule: PEMDAS says Parentheses first and we work inside out.
Rule: When we divide exponents with the same base we subtract the exponents.

6^7 - 6^6 = 6^1 or just 6

3^3 - 3^4 = 3^-1 and a negative exponent is written as it’s inverse, so 1/3^1 or just 1/3.

Now we have
{ (6) ( 1/3) }^3

6 x 1/3 = 6/3
6/3 = 2 inside the parentheses

Moving out we now have (2)^3

2^3 = 8

8 is your answer

User Kelsi
by
8.2k points
1 vote

Answer:

8

Explanation:

The first step is to simplify the fraction inside the parentheses,

using a^b / a^c = a^(b-c)

6^7 3^3 6^(7-6) 3^(3-4) = 6^1 3^-1 = 6/3 =2

----------------- =

6^6 3^4

Now we take care of the outside parentheses

3^2 = 2*2*2 = 8

User Demven Weir
by
8.7k points

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