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  $\frac{x^{-2}}{1}=\frac{1}{x^2}$

$\frac{1}{y^{-3}}=\frac{y^3}{1}$  or  y³

So:

$4^3*4^{-5}=4^{3+(-5)}=4^{-2}$

$4^{-2}=\frac{1}{4^2}=\frac{1}{16}=0.0625$

a.) correct

b.) correct

c.) incorrect

d.) correct

e.) correct

f.) incorrect

g.) incorrect