Question

((-3/7)⁴*(-3/7)⁸)= ((-3/7)*(-3/7)⁵) pls ans question from exponent and powers
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Answer 1

Step-by-step explanation:

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

Answer 2

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