Question

8 ^14•(8^4)^6 : (8 ^5)^ 7 •8​

Answer 1

Ответ: 64

Объяснение:

8¹⁴*(8⁴)⁶ : (8⁵)⁷*8= 8¹⁴*8²⁴ : 8³⁵*8=8³⁸ : 8³⁶= 8²=64.

Answer 2

To simplify the expression, let's break it down step by step:

1. $8^{14} \cdot (8^4)^6 : (8^5)^7 \cdot 8$

2. $8^{14} \cdot 8^{24} : 8^{35} \cdot 8$

When you have the same base raised to different exponents, you can apply the properties of exponents:

3. $8^{14 + 24} : 8^{35 + 1}$

4. $8^{38} : 8^{36}$

Now, use the quotient rule for exponents:

5. $8^{38 - 36}$

6. $8^2$

Finally:

7. $64$