${(4)}^{0.5} \times {(0.5)}^{4}$ is equal to

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

\frac{1}{8}

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

\frac{1}{32}

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

Open in App

Solution

The correct option is C $\frac{1}{8}$
$(4)^{0.5} \times (0.5)^{4} = (2^{2})^{0.5} \times {(\frac{1}{2})}^{4}$
$= 2^{1} \times 2^{- 4}$
$= 2^{- 3}$
$= \frac{1}{2^{3}}$ $= \frac{1}{8}$

Suggest Corrections

Similar questions

(4)^{0.5}

(0.5)^{4}

(4)^{0.5} \times (0.5)^{4}

(4)^{0.5} \times (0.5)^{4}

2^{1 / 4} {.4}^{1 / 8} {.8}^{1 / 16} {.16}^{1 / 32}

2^{1 / 4} \cdot 4^{1 / 8} . 8^{1 / 16} . 16^{1 / 32} . . . .

Join BYJU'S Learning Program