Question

4^‐² + 8^‐¹ знайти значення виразу

Answer 1

Ответ:

смотри на фото

Пошаговое объяснение:

Постав лайк пж

Answer 2

Ответ:

$4 {}^{ - 2} + 8 {}^{ - 1} = (2 {}^{2} ) {}^{ - 2} + (2 {}^{3} ) {}^{ - 1} = 2 {}^{ - 4} + 2 {}^{ - 3} = 2 {}^{ - 4 + ( - 3)} = 2 {}^{ - 7} = \frac{1}{128}$

Answer 3

To find the value of the expression, let's simplify each term individually.

1. 4^(-2): Recall that a negative exponent indicates taking the reciprocal of the base raised to the positive exponent. So, 4^(-2) is equal to 1/(4^2). Evaluating 4^2, we get 16. Therefore, 4^(-2) = 1/16.

2. 8^(-1): Similar to the previous step, 8^(-1) is equal to 1/(8^1). Evaluating 8^1, we get 8. Therefore, 8^(-1) = 1/8.

Now, let's substitute these values back into the expression:

1/(4^2) + 1/(8^1)

= 1/16 + 1/8

To add these fractions, we need to find a common denominator. The least common multiple of 16 and 8 is 16. Therefore, we can rewrite the expression as:

(1/16) + (2/16)

Combining the numerators, we get:

(1 + 2)/16

= 3/16

So, the value of the expression 4^(-2) + 8^(-1) is 3/16.