If $8^{5} = 32768$ , then the value of ${0.8}^{5}$ is ____ .

3.2768

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.32768

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

32768

No worries! We‘ve got your back. Try BYJU‘S free classes today!

32779

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 0.32768
The exponent of ${0.8}^{5}$ is 5 and the base has only one digit after the decimal.

Therefore, the decimal will be shifted 5 places to the left in the final result.

Since $8^{5} = 32768$
Hence ${0.8}^{5} = 0.32768$

Suggest Corrections

Similar questions

\frac{0.85 \times 0.85 \times 0.85 + 0.15 \times 0.15 \times 0.15}{0.85 \times 0.85 - 0.85 \times 0.15 + 0.15 \times 0.15} = 1

\frac{(x + 0.7 x)}{2} = 0.85

x

In the given figure AB||CD.
If $∠ C D E = 85^{\circ}$ ,then find the value of x and y respectively.

{(\sqrt[3]{4})}^{2 x + \frac{1}{2}} = {(\sqrt[3]{8})}^{5}

x

3 \frac{1}{m}

m

Join BYJU'S Learning Program