Express $8^{- 4}$ as a power with the base 2.

2^{- 6}

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

2^{- 8}

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

2^{- 12}

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

2^{- 4}

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

Open in App

Solution

The correct option is C $2^{- 12}$
We have $8 = 2 \times 2 \times 2 = 2^{3}$
$8^{- 4} = (2^{3})^{- 4} = 2^{3 \times (- 4)} = 2^{- 12}$

Suggest Corrections

Similar questions

16^{- 2}

4

27^{- 2}

3

16^{- 2}

8^{- 2}

2

Express the following as a power with the base 4:
$4^{3} \times 4^{- 2} \times 16^{2}$

Join BYJU'S Learning Program