Math, asked by rajani140685, 2 months ago

please help me I need it urgently
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Answers

Answered by divyanshkala07
1

Answer:

1 / 2^2

1 / 4

0.25

Step-by-step explanation:

\frac{(-2)^{3}*(-2)^{7}}{4^{6}}

\frac{(-2)^{3+7}}{2^{(2*6)}}

\frac{(-2)^{10}}{2^{(12)}}

\frac{2^{10}}{2^{12}}

\frac{1}{2^{2} }

Hope it helps

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Answered by RvChaudharY50
1

Question :- Simplify and express the result with positive exponent :-

  • [(-2)³ × (-2)⁷] / 4⁶

Solution :-

→ [(-2)³ × (-2)⁷] / 4⁶

using a^m × a^n = a^(m + n) in numerator ,

→ (-2)^(3 + 7) / 4⁶

→ (-2)¹⁰ / 4⁶

→ (-2)¹⁰ / (2²)⁶

using (a^m)^n = a^(m × n) in denominator ,

→ (-2)¹⁰ / (2)¹²

using (a × b)^m = a^m × b^m in numerator,

→ {(-1)¹⁰ × (2)¹⁰} / (2)¹²

→ {(1 × (2)¹⁰} / (2)¹²

→ (2)¹⁰ / (2)¹²

using a^m / a^n = a^(m - n)

→ (2)^(10 - 12)

→ (2)^(-2)

using a^(-m) = (1/a^m) ,

(1/2²) (Ans.)

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