Question

B^12×(b^-3)^3 при b=5​

Answer 1

b¹²·(b⁻³)³=b¹²·b⁻⁹=b³

при b=5

5³=125

Answer 2

To calculate the expression $B^{12} \times (b^{-3})^3$ when $b = 5$, we substitute $b = 5$ into the expression and perform the calculations step by step.

Given values: $B = 5$ $b = 5$

Substitute $b = 5$ into the expression: $B^{12} \times (5^{-3})^3$

Now, calculate the values: $5^{-3} = \frac{1}{5^3} = \frac{1}{125}$

Next, raise $\frac{1}{125}$ to the power of 3: $(\frac{1}{125})^3 = \frac{1}{125^3} = \frac{1}{1,953,125}$

Now, substitute this value back into the expression: $B^{12} \times \frac{1}{1,953,125}$

Finally, calculate $B^{12}$: $B^{12} = 5^{12} = 244,140,625$

Now, substitute this value back into the expression: $244,140,625 \times \frac{1}{1,953,125}$

Now, calculate the result: $244,140,625 \times \frac{1}{1,953,125} \approx 125$

So, $B^{12} \times (b^{-3})^3$ when $b = 5$ is approximately $125$.