Advertisements
Advertisements
प्रश्न
A student said that `3^5/9^5` is the same as `1/3`. What mistake has the student made?
उत्तर
We have, `3^5/9^5 = 3^5/(3^2)^5` ......[∵ 9 = 3 × 3 = 32]
= `3^5/3^10` = `1/(3^(10 - 5)` = `1/3^5` ......`[∵ a^m/a^n = a^(m-n)]`
So, `1/3` is not same as `1/3^5`
Student has multiplied the base by its exponent.
This is the error.
APPEARS IN
संबंधित प्रश्न
Express the following terms in the exponential form: (2 × 3)5.
The simplified form of `(256)^((-1)/4) xx 4^2` is `1/4`
Evaluate: `((-5)/6)^(-3)`
Simplify using law of exponents.
95 × 35
Simplify using law of exponents.
256 × 56
a × a × a × a × a is equal to
`(2/3)^3 xx (5/7)^3` is equal to ______.
50 × 250 × 1250 = (50)6
Express the following in single exponential form:
(–3)3 × (–10)3
Express the following in single exponential form:
(–11)2 × (–2)2
