Question

4. Simplify:
(a) –2p^-3 q(7p^-8 q⁵)
plz its important give answer fast and -3 ,-8 are the powers please try to solve fast ​

Answer 1

Answer:

-14p^-11 q^6

Step-by-step explanation:

-2p^-3 q(7p^-8 q^5)

-2p^-3 (7p^-8 q^1 q^5)

-2p^-3 (7p^-8 q^(5+1))

-2p^-3 (7p^-8 q^6)

-14p^-3 p^-8 q^6

-14p^(-8+(-3)) q^6

-14p^(-8-3) q^6

-14p^-11 q^6

Answer 2

multiply p^-3 by p^-8 by adding the exponents

-2p^-11(7q^5)

multiply q and q^5 by adding the exponents

-2p^-11 q^6.7

rewrite the expressions using the negative components rule b^-n=1/b^n

-2 1/p^11 q^6 . 7

combine -2 and 1/p^11

-2/p^11 q^6 . 7

move the negative in front of the fraction

- (2/p^11) q^6 . 7

combine q^6 and 2/p^11

- (q^6 . 2/p^11) . 7

move 2 to the left of q^6

- (2 . q^6/p^11) . 7

multiply - (2 q^6/p^11) . 7

multiply 7 by -1

-7(2 q^6/p^11)

combine -7 by 2 q^6/p^11

-7(2q^6) /p^11

multiply 2 by -7

-14q^6/p^11

move the negative in front of the fraction

-(14q^6/p^11)

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