what is the simplified form of each expression?
7x^-8*6x^3

a. 42/x^5
b. 1/42x^5
c. 42x^11
d. 13x^-5

Question

what is the simplified form of each expression?
7x^-8*6x^3

a. 42/x^5
b. 1/42x^5
c. 42x^11
d. 13x^-5

bieber896 · Answer

@Anaise

bieber896 · Answer

@whpalmer4

whpalmer4 · Answer

$$7x^{-8}*6x^3 = $$

remember that we multiply the numbers/coefficients, and we add the exponents of the matching variables:

$$3b^2*4c^5 = (3*4)b^{2+5} = 12b^7$$

bieber896 · Answer

ok

whpalmer4 · Answer

Now the other thing you need to remember is that 
$$x^{-n} = \frac{1}{x^n}$$

bieber896 · Answer

alright so am i supposed to plug in some numbers?

whpalmer4 · Answer

$$7x^{-5}*6x^3$$what is $7*6$?

what is $x^{-5}*x^3$?

bieber896 · Answer

is it 42/x^5?

bieber896 · Answer

@whpalmer4

whpalmer4 · Answer

it is indeed!

bieber896 · Answer

yay! do you have time for 2 more?

whpalmer4 · Answer

$$7x^{-8}*6x^3 = 7*6*x^{-8}*x^3 = 42*x^{-8+3} = 42x^{-5} = \frac{42}{x^5}$$

whpalmer4 · Answer

Post them as new questions, I have to go but others will help if I cannot...

bieber896 · Answer

aww alright