Advertisements
Advertisements
Question
Express 3–5 × 3–4 as a power of 3 with positive exponent.
Sum
Advertisements
Solution
Using laws of exponents,
am × an = (a)m + n and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ 3–5 × 3–4 = (3)–5 – 4
= (3)–9
= `1/3^9`
shaalaa.com
Is there an error in this question or solution?
Chapter 8: Exponents and Powers - Exercise [Page 257]
APPEARS IN
RELATED QUESTIONS
Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
Simplify:
\[\left( 4^{- 1} \times 3^{- 1} \right)^2\]
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
Evaluate:
5−2
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Express the following rational numbers with a positive exponent:
\[4^3 \times 4^{- 9}\]
Find x, if
\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to
Find the multiplicative inverse of the following.
10– 100
