Question

Упростить a^4×(a^3)^2

Answer 1

a^4*(a^3)^2=a^4*a^6=a^10

Answer 2

To simplify the expression a^4 × (a^3)^2, you need to follow the rules of exponents.

When you have a power raised to another power, you multiply the exponents. So, in this case:

(a^4) × (a^3)^2

Since (a^3)^2 means (a^3) raised to the power of 2, you multiply the exponents:

(a^4) × (a^(3×2))

(a^4) × (a^6)

Now, when you multiply two terms with the same base, you add the exponents:

a^(4+6)

a^10

So, the simplified form of the expression is a^10.