Question

PLEASE HELP!!
Question is in the picture

Answer 1

When you multiply a number with an exponent by a number with an exponent, you add the exponents together.

For example:

`x^(2) *x^(3) =x^(2+3)=x^5`

`y^(1) (y^3)=y^(1+3)=y^4`

`2^2*2^3=2^(2+3)=2^5`

When an exponent is negative, you move it to the other side of the fraction to make the exponent positive

For example:

`x^(-2)` or
`(x^(-2))/(1)=(1)/(x^2)`

`(1)/(y^(-3))=(y^3)/(1)` or y³

So:

`4^3*4^(-5)=4^(3+(-5))=4^(-2)`

`4^(-2)=(1)/(4^2)=(1)/(16)=0.0625`

a.) correct

b.) correct

c.) incorrect

d.) correct

e.) correct

f.) incorrect

g.) incorrect