Question

1) (b5)3 - (b2)7: (b6) при b = -2;​

Answer 1

Ответ:

$b=-2\\\\(b^5)^3-(b^2)^7:b^6=b^{15}-b^{14}:b^6=b^{15}-b^8=b^8\, (b^7-1)=\\\\=(-2)^8\, (\, (-2)^7-1)=256\cdot (-128-1)=-256\cdot 129=33024$

Answer 2

To evaluate the expression (b^5)^3 - (b^2)^7 ÷ (b^6) when b = -2, you can substitute the value of b and then simplify the expression step by step.

1. Substitute b = -2 into the expression:

(-2^5)^3 - (-2^2)^7 ÷ (-2^6)

2. Calculate the powers of -2:

(-32)^3 - (4)^7 ÷ 64

3. Calculate the powers and divisions:

(-32)^3 is -32 * -32 * -32 = -32 * 1024 = -32,768 (4)^7 is 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16,777,216

So the expression becomes:

-32,768 - 16,777,216 ÷ 64

4. Perform the division:

-32,768 - 262,144

5. Finally, subtract the two results:

-32,768 - 262,144 = -294,912

So, when b = -2, the value of the expression (b^5)^3 - (b^2)^7 ÷ (b^6) is -294,912.