Math, asked by vinodanck66, 1 year ago

(-5)^4 × (-5)^6 ÷(-5)^9

Answers

Answered by jug3
2
hi all
given:(-5)^4×(-5)^6÷(-5)^9
we know that a^3×a^4=a^3+4

similarly
(-5)^4+6-9
=(-5)^1
=-5
hope this helps
mark as brainliest
Answered by MiniDoraemon
5
Hello dear!!!

Good morning :-)

Here is your answer,

 {( - 5)}^{4}  \times  {( - 5)}^{6}  \div  {( - 5)}^{9}  \\  \\ as :   \:  {a}^{n}   \times  {a}^{m}  =  {(a)}^{n +m }  \\  \\ =  {( - 5)}^{4 + 6}  \div  {(5)}^{9}  \\  \\  =  {( - 5)}^{10}  \div  {( - 5)}^{9}  \\  \\ as  :  {a}^{n}  \div  {a}^{m}  =  {(a)}^{n - m}  \\  \\  =  {( - 5)}^{10 - 9}  \\  \\  =  {( - 5)}^{1}  \\  \\  =  - 5


Hope it helps.

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