Evaluate (2/105)^(a+2): Complex Fraction with Variable Exponent

Question

Insert the corresponding expression:

$\left(\frac{2}{3\times7\times5}\right)^{a+2}=$

00:00 Simply

00:04 According to the laws of exponents, any fraction raised to a power (N)

00:07 equals the numerator and denominator raised to the same power (N)

00:10 We will use this formula in our exercise

00:13 Note that the entire exponent (N) is a sum

00:20 And this is the solution to the question

$\frac{2^{a+2}}{\left(3\times7\times5\right)^{a+2}}$