\(\left(\frac{-1}{5}\right)^{-4}\times\left(\frac{-1}{25}\right)^{-2}\times\left(\frac{-1}{2}\right)^{-6}\times\left(\frac{-1}{4}\right)^{-3}\) as a power of product of rational numbers with positive exponent.
Converting each term to positive exponents: (-5)^4 x (-25)^2 x (-2)^6 x (-4)^3 = 5^4 x 5^4 x 2^6 x (-2^6) = -(5)^8 x (2)^12, since the odd power of -4 keeps the overall sign negative.
Similar Questions
\(\dfrac{1.2 \times 10^3}{2.4 \times 10^{-4}}\) is written in the standard form as:
If \(\dfrac{4}{3}\) of the difference of \(2\dfrac{1}{4}\) and \(1\dfrac{2}{3}\) is added to \(\dfrac{1}{2}\) of the difference of \(2\dfrac{1}{3}\) and \(1\dfrac{2}{7}\), then result is:
Square root of \(\frac{0.081}{0.0064}\times\frac{0.484}{6.25}\times\frac{2.5}{12.1}\) is:
What should come in place of the question mark in the following number series?
\(8^2+16^2-19^2=?^3-257\)
The value of \(2\frac{3}{5}\div\left[2\frac{1}{3}\div\left\{4\frac{1}{3}-\left(2\frac{1}{2}+\frac{2}{3}\right)\right\}\right]\) is equal to:
Important Questions from Number System
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.
How many composite numbers are there from 53 to 97 ?
