Question

Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6

Answer 1

When you add, you subtract the exponents. When you divide, you subtract the exponents.

When you have multiplication and division in one expression, you do it from left to right.

7^2 times 7^5 = 7^ (2+5) = 7^7

7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2

7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8

Put it in a calculator.

614656.

That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!

If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.