Question 93

Solve the following:

Express $16^{- 2}$ as a power with the base 2.

Open in App

Solution

$∵ 2 \times 2 \times 2 \times 2 = 16 = 2^{4} ∴ 16^{- 2} = (2^{4})^{- 2} = (2)^{4 \times (- 2)} = (2)^{- 8}$

Suggest Corrections

Similar questions

Question 93

Solve the following:

Express $16^{- 2}$ as a power with the base 2.

Question 95

Solve the following:

Express $\frac{16}{81} a n d \frac{- 16}{81}$ as powers of rational number.

Question 96

Solve the following:

Express as a power of a rational number with negative exponent.
$(a) {({(\frac{- 3}{2})}^{- 2})}^{- 3} (b) (2^{5} \div 2^{8}) \times 2^{- 7}$

Question 95

Solve the following:

Express $\frac{16}{81} a n d \frac{- 16}{81}$ as powers of rational number.

Question 96

Solve the following:

Express as a power of a rational number with negative exponent.
$(a) {({(\frac{- 3}{2})}^{- 2})}^{- 3} (b) (2^{5} \div 2^{8}) \times 2^{- 7}$

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program