Question

1024:2⁵+140:(38+2⁵)-7^23:7²¹-----

Answer 1

To evaluate the expression 1024:2⁵+140:(38+2⁵)-7^23:7²¹, we simplify each operation step by step. After simplifying the divisions and exponents, the final answer cannot be determined without knowing the values of certain numbers.

Step-by-step explanation:

To evaluate the given expression, we need to simplify each operation step by step. Let's break it down:

1. 1024 ÷ 2⁵ = 1024 ÷ 32 = 32
2. 140 ÷ (38 + 2⁵) = 140 ÷ (38 + 32) = 140 ÷ 70 = 2
3. 7²³ ÷ 7²¹ = 7²³ ÷ 49 = 7¹⁴ = 7, i.e., 7 to the power of 14

Now we can substitute these values back into the original expression and evaluate it:

32 + 2 - 7⁴⁶₀ = 32 + 2 - (7 × 7⁴⁵) = 32 + 2 - (7 × 7² × 7⁴³) = 32 + 2 - (7 × 49 × 7⁴³) = 34 - (7 × 49 × 7⁴³)

At this point, it is not possible to simplify the expression further, so the final answer is obtained by subtracting 7 multiplied by 49 and 7 to the power of 43 from 34. This cannot be performed without knowing the values of 49 and 7 to the power of 43.