Advertisements
Advertisements
Question
Simplify:-
`(1/3^3)^7`
Advertisements
Solution
We can write the given expression as follows
⇒ `(1/3^3)^7 = (3^-3)^7`
= `3^(-3 xx 7)`
On simplifying
∴ `(1/3^3)^7 = 3^-21`
= `(1/3^3)^7 =1/3^21`
APPEARS IN
RELATED QUESTIONS
Simplify:-
`2^(2/3). 2^(1/5)`
Simplify the following
`(4ab^2(-5ab^3))/(10a^2b^2)`
Prove that:
`(64/125)^(-2/3)+1/(256/625)^(1/4)+(sqrt25/root3 64)=65/16`
Show that:
`(x^(a^2+b^2)/x^(ab))^(a+b)(x^(b^2+c^2)/x^(bc))^(b+c)(x^(c^2+a^2)/x^(ac))^(a+c)=x^(2(a^3+b^3+c^3))`
Determine `(8x)^x,`If `9^(x+2)=240+9^x`
If `5^(3x)=125` and `10^y=0.001,` find x and y.
State the product law of exponents.
If \[\sqrt{5^n} = 125\] then `5nsqrt64`=
If \[2^{- m} \times \frac{1}{2^m} = \frac{1}{4},\] then \[\frac{1}{14}\left\{ ( 4^m )^{1/2} + \left( \frac{1}{5^m} \right)^{- 1} \right\}\] is equal to
If \[\sqrt{2} = 1 . 4142\] then \[\sqrt{\frac{\sqrt{2} - 1}{\sqrt{2} + 1}}\] is equal to
