Advertisements
Advertisements
Question
The expression for 35 with a negative exponent is ______.
Advertisements
Solution
The expression for 35 with a negative exponent is `underlinebb(1/3^-5)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `3^5 = 1/3^-5`
Hence, the expression for 35 with a negative exponents is `1/3^-5`.
APPEARS IN
RELATED QUESTIONS
Find the value of 2–3.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
`(-8/2)^0 = 0`
`a^m = 1/a^-m`
am × bm = (ab)m
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. What fraction of substance remains after 7 half-lives?
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Simplify:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
