Question

HdshdgdbbebzbdvxgsjjfbJJnzBBSbdbdbdbdbdbdbd help me plzzzz

Answer 1

[Note: you can only combine exponents when the base is the same.

x³ "x" is where the base is

For example:

x²(y³) = x²y³

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

For example:

`(x^(2) )(x^(4))=x^(2+4)=x^6`

`(x^(2))(x^6)=x^(2+6)=x^8`

`(2^4)(2^1)=2^(4+1)=2^5`

When an exponent is negative, you move the number and the exponent 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

A.)
`3^(-4)(3^(-3))=3^(-4+(-3))=3^(-4-3)=3^(-7)=(1)/(3^7)`

B.)
`3^(-5)(3^2)=3^(-5+2)=3^(-3)=(1)/(3^3)`

C.)
`3^6(3)=3^(6+1)=3^7`

D.)
`3^5(3^(-12))=3^(5+(-12))=3^(-7)=(1)/(3^7)`

E.)
`3^(-7)(3^1)=3^(-7+1)=3^(-6)=(1)/(3^6)`

F.)
`3^2(3^(-9)) = 3^(2+(-9))=3^(-7)=(1)/(3^7)`

Your answer is A, D, F