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

Answer 1

@Anaise

Answer 2

@whpalmer4

Answer 3

\[7x^{-8}*6x^3 = \]

remember that we multiply the numbers/coefficients, and we add the exponents of the matching variables:

\[3b^2*4c^5 = (3*4)b^{2+5} = 12b^7\]

Answer 4

ok

Answer 5

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

Answer 6

alright so am i supposed to plug in some numbers?

Answer 7

\[7x^{-5}*6x^3\]what is \(7*6\)?

what is \(x^{-5}*x^3\)?

Answer 8

is it 42/x^5?

Answer 9

@whpalmer4

Answer 10

it is indeed!

Answer 11

yay! do you have time for 2 more?

Answer 12

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

Answer 13

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

Answer 14

aww alright