Question

8 power 12 multiply 64 power a multiply 40 power 24 multiply 25 power 13 equal to 40 power 5 find a

Answer 1

I don’t know the answer to this question

Answer 2

The value of a is 7.

Step-by-step explanation:

Consider the provided equation.

8¹² × 64ᵃ × 40²⁴ × 25¹³ = 40⁵⁰

(2³)¹² × (2⁶)ᵃ × (2³ × 5)²⁴ × (5²)¹³ = (2³ × 5)⁵⁰

2³⁶ × 2⁶ᵃ × 2⁷² × 5²⁴ × 5²⁶ = 2¹⁵⁰ × 5⁵⁰

2³⁶⁺⁶ᵃ⁺⁷² × 5²⁴⁺²⁶ = 2¹⁵⁰ × 5⁵⁰

2⁶ᵃ⁺¹⁰⁸ × 5⁵⁰ = 2¹⁵⁰ × 5⁵⁰

2⁶ᵃ⁺¹⁰⁸ = 2¹⁵⁰ × 5⁵⁰ × 5⁻⁵⁰

2⁶ᵃ⁺¹⁰⁸ = 2¹⁵⁰ × 5⁵⁰⁻⁵⁰

2⁶ᵃ⁺¹⁰⁸ = 2¹⁵⁰

Comparing the powers of 2 from both sides, we get

6a + 108 = 150

6a = 150 - 108

6a = 42

a = 7

Hence, the value of a is 7.

#Learn more

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