How do i do the following math?

Question

(2³4)^-2

Answer 1

Always remember PEMDAS.

 

Parentheses first.

(2³*4) then ^(-2)

 

Exponents in the parentheses

2³=8(8*4)=32

 

Now do what's outside the parentheses.

32^-2=1/32²=1/1024

 

 

Alternately, you can do this.

2³=2³

4=2²

2³*2²=2⁵

25^-2=2^-10=1/2¹⁰=1/1024