Solve ((4×5)/(3×2))^(-2): Negative Exponent with Complex Fractions

Question

Insert the corresponding expression:

(4×53×2)2= \left(\frac{4\times5}{3\times2}\right)^{-2}=

Video Solution

Solution Steps

00:00 Simply
00:04 According to the laws of exponents, any fraction (A\B) raised to a power (N)
00:07 equals the numerator and denominator raised to the same power (N)
00:12 We will use this formula in our exercise
00:15 We'll raise both numerator and denominator to the power (N)
00:27 According to the laws of exponents when the entire product is raised to a power (N)
00:32 equals each factor in the product separately raised to the same power (N)
00:40 We will use this formula in our exercise
00:50 And this is the solution to the question

Answer

42×5232×22 \frac{4^{-2}\times5^{-2}}{3^{-2}\times2^{-2}}