Question

With explanation
Pls answer

Answer 1

Hello!

For the first qurstion:

1. Multiply the numebers inside the parentheses (so: (3/4)^9 x (3/4)^7)

2. Since the bases are already the same, it is easy to multiply the exponents.

3. When multiplying exponents with same bases, just add the exponents (bases stay the same, in this case)

4. Solve for the paratheses. We would get [3/4^16] because 9+7 = 16.

5. Then we need to solve for the next pair of parentheses. Notice how it has a power to another power. When you have a power to another power multiply the numbers to find the new power. So, 6 x 2 = 12. The new number would be [(3/4)^12].

Then we can divided [(3/4)^16] / [(3/4^12].

Since we are dividing we need to subtract the exponents. Therefore do, 16-12 = 4.

We keep the bases the same, and just rewrite the exponents.

= [(3/4)^4].