The value of ( $4^{- 7} \div 4^{- 10}) \times 4^{- 5}$ is $16^{- 1}$ .

True

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

False

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

Open in App

Solution

The correct option is A
True

$(4^{- 7} \div 4^{- 10}) \times 4^{- 5}$
$= 4^{- 7 + 10} \times 4^{- 5}$
$= 4^{3 - 5}$
$= 4^{- 2}$
$= \frac{1}{16}$
$= 16^{- 1}$

Suggest Corrections

Similar questions

State true or false:
The value of ( $4^{- 7}$ ÷ $4^{- 10}$ ) × $4^{- 5}$ is $16^{- 1}$ .

The value of ( $4^{- 7}$ ÷ $4^{- 10}$ ) × $4^{- 5}$ is $16^{- 1}$ .

S = 1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + . . .

S = 1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + \dots \infty .

S

Join BYJU'S Learning Program