Advertisements
Advertisements
Question
Express 16–2 as a power with the base 2.
Sum
Advertisements
Solution
∵ 2 × 2 × 2 × 2 = 16 = 24
∴ 16–2 = (24)–2 = (2)4 × (–2) ...[∵ (am)n = (a)mn]
= (2)–8
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\left( \frac{2}{3} \right)^{- 2}\]
Find the value of the following:
(30 + 4−1) × 22
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 2} + \left( \frac{1}{3} \right)^{- 2} + \left( \frac{1}{4} \right)^{- 2}\]
Find the value of the following:
(5−1 × 2−1) ÷ 6−1
Express the following rational numbers with a negative exponent:
\[\left( \frac{3}{5} \right)^4\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
Find x, if
\[\left( \frac{3}{2} \right)^{- 3} \times \left( \frac{3}{2} \right)^5 = \left( \frac{3}{2} \right)^{2x + 1}\]
For any two non-zero rational numbers a and b, a4 ÷ b4 is equal to
The expression for 4–3 as a power with the base 2 is 26.
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
