Question

simplify the given question
8th maths questions I have doubt help me plssssddddddsssss​

Answer 1

$\frac{ {4}^{ - 3} \times {6}^{ - 5} }{ {2}^{ - 5} \times {3}^{ - 6} \times {9}^{ - 4} } \\ = \frac{ {2}^{2 \times( - 3)} \times { (2 \times 3)}^{ - 5} }{ {2}^{ - 5} \times {3}^{ - 6} \times {3}^{2 \times ( - 4)} }$

$\frac{ {2}^{ - 6} \times {2}^{ - 5} \times {3}^{ - 5} }{ {2}^{ - 5} \times {3}^{ - 6} \times {3}^{ - 8} }$

$\frac{ {2}^{ ( - 6) + ( - 5)} \times {3}^{ - 5} }{ {2}^{ - 5} \times {3}^{( - 6) + ( - 8)} }$

${2}^{(-11)-(-5)}\times{3}^{(-5) - ( - 14)}$

${2}^{ - 6} \times {3}^{9} \\ = \frac{ {3}^{9} }{ {2}^{6} }$

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Answer 2

Answer:

3⁹

----

2⁶

Step-by-step explanation:

If we Reciprocal the number,the sign of the power will change.

4^(-3) = (1/4)³

6^(-5) = (1/6)⁵

2^(-5) = (1/2)⁵

3^(-6) = (1/3)⁶

9^(-4) = (1/9)⁴

4^(-3) × 6^(5) 2⁵ × 3⁶ × 9⁴

----------------------------- = ------------------

2^(-5) × 3^(-6) × 9^(-4) 4³ × 6⁵

6⁵ = (2×3)⁵ = 2⁵ × 3⁵

9⁴ = (3×3)⁴ = 3⁴ × 3⁴ = 3⁸

4³ = (2×2)³ = 2³ × 2³ = 2⁶

2⁵ × 3⁵ × 3 × 3⁸

= ----------------------

4³ × 2³ × 3⁵

3⁹

= ----

2⁶

Hope it helps you:)