Question

1) (а^3)^3 2) (х^5) ^2

Answer 1

(а^3×32)(x^5×2)
(a^96)(x^10)

Answer 2

To simplify the given expressions, apply the rules of exponents:

1. (a^3)^3

When you raise an exponent to another exponent, you multiply the exponents. In this case, you have a base (a) raised to the power of 3, and then the whole result raised to the power of 3. So:

(a^3)^3 = a^(3*3) = a^9

2. (x^5)^2

Similarly, when you raise a base with an exponent to another exponent, you multiply the exponents. Here, you have a base (x) raised to the power of 5, and then the whole result raised to the power of 2. So:

(x^5)^2 = x^(5*2) = x^10

So the simplified expressions are:

1. (a^3)^3 = a^9
2. (x^5)^2 = x^10