Question

can someone please help me with
simplify
v^-3(v^-9)
write only with positive exponents

please help

Answer 1

I would multiply these powers together first. Can you do that?

Answer 2

like 3(9)?

Answer 3

When multiplying powers with the same base, keep the base the same and add the exponents

Answer 4

so v^12?

Answer 5

The exponents are -3 and -12. What is their sum?

Answer 6

21? or -15 but the exponents in the problem are -3 and -9

Answer 7

Opps sorry. -3 + -9 =?

Answer 8

-12?

Answer 9

yes

Answer 10

Example:
\(\large x^{-5} \times x^{-7} = x^{-5 + (-7)} = x^{-12} \)

Answer 11

so v^-12? but it wanted a positive exponent

Answer 12

So now you v^-12. In order to change the sign of the exponent, take the reciprocal of the power. For example, \[x^{-2} = \frac{ 1 }{ x^2 }\]See where to go from here?

Answer 13

so 1/v^12?

Answer 14

Correct! Well done

Answer 15

@RaeBeach9296 Correct! Good job!
@ospreytriple Good explanations!

Answer 16

Thanks and good luck with your math studies.

Answer 17

thank you :-)