Question

Find the value of the following expression:

Write your answer in simplified form. Show all of your steps.

Answer 1

Do you have any work so far? You are going to need to simplify each term separately.

Answer 2

So I would start with the first equation in parentheses? (3^8 ⋅ 2^−5 ⋅ 9^0)

Answer 3

Yes, you're goal is to simplify this using the rule of exponents. Any exponent to the zero power is 1. To simplify a number with a negative exponent, we move the base and exponent to the denominator.

Answer 4

Now, try to simplify the next term. Remember that we are able to combine exponents with the same base.

Answer 5

Also- when multiplying exponential expressions by an exponent (an exponent raised to an exponent) we are multiplying the exponents.

Answer 6

Okay so now we would flip (2^-2/3^3)?

Answer 7

I would leave it as is (You will see at the end). Now distribute the 4th power to the terms. (Multiply the exponents and keep the base)

Answer 8

Okay I got 2^-8/3^12