Question

Help please ? i cant fiqure it out ☹️

Answer 1

Ok, you've got a lot of simplification to do. Order of operations says "please excuse my dear aunt sally", aka parenthesis, exponents, multiplication, division, addition, then subtraction.

Parenthesis first:

Since (3^4) is in parenthesis, you do it first.

3^4 = 3*3*3*3 = 81

So now you have
`(7^7 -81^3)/(21^9)`

Exponents:

Now simplify all the exponents.

7^7 = 7*7*7*7*7*7*7 = 823,543

81^3 = 81*81*81 = 531,441

21^9 = 21*21*21*21*21*21*21*21*21 = 794,280,046,581

So now you have 823,543 - 531,441 / 794,280,046,581

Since you can't divide without first subtracting, do that now.

823,543 - 531,441 = 292,102

So now you have 292,102 / 794,280,046,581 = 3.6775694
`* 10^-7`

Hope this helps =)

Answer 2

7^7 (3^4)^3 / 21^9

= 7^7 * 3^12 / (3 * 7)^9

= 7^7 * 3^12 / 3^9 * 7^9

= 7^(7 - 9) * 3^(12 - 9)

= 7^-2 * 3^3

= 3^3 / 7^2

= 27/49