Math, asked by adarshbirla9, 22 hours ago

((-3/7)⁴*(-3/7)⁸)= ((-3/7)*(-3/7)⁵) pls ans question from exponent and powers

Answers

Answered by shreekrishna35pdv8u8
0

Step-by-step explanation:

( -  \frac{3}{7} ) ^{4}  \times  ({ \frac{ - 3}{7} })^{8}  = (  { \frac{ - 3}{7} })^{x}  \times ( { \frac{ - 3}{7} )}^{5}  \\ (  { \frac{ - 3}{7}) }^{4 + 8}  = (  { \frac{ - 3}{7}) }^{x + 5}   \\ 12 = x + 5 \\ x = 12 - 5 \\   x = 7

Answered by diwanamrmznu
5

EVALUATION★

 = >  ( -  \frac{3}{7} ) {}^{4}  \times ( -  \frac{3}{7}) {}^{8}    = ( -  \frac{3}{7} ) \times ( \frac{ - 3}{ \:  \:  \: 7} ) {}^{5}

  • we know that

  • a {}^{m} \times a {}^{n}   = a {}^{m + n}  \\
  •  =  > ( - \frac{3}{7}) {}^{4 + 8} = ( \frac{ - 3}{ \:  \:  \: 7} ) {}^{5 + x} \\  \\  = ( -  \frac{3}{7}) {}^{12}  = >  ( -  \frac{3}{7}) {}^{5+x}
  • same base power comparison

  •   = > 12 = 5+x \\  \\ =  >  x=12-5\\  \\  =  > x = 7
  • "______________________________

I hope it helps you

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