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 Simplify the following problem

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

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

00:10 We will apply this formula to our exercise

00:13 Note that the entire exponent contains an addition operation

00:20 This is the solution

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