Question

What is the value of a when (x^6)(x^4) is written as x^a

Answer 1

a= 10

Explanation:

we need to use the concept of indices to solve this problem

we need to understand the operation of indices such as the multiplication of two indices mean addition of their powers. thus

x⁶ X x⁴ = x^4+6

= x^10. hence a = 10

Answer 2

Answer: a = 10

Reason:

When multiplying x^6 with x^4, we add the exponents

(x^6)*(x^4) = x^(6+4) = x^10

The general rule is

(a^b)*(a^c) = a^(b+c)

The base of each exponent must be the same.