Question

Laws of exponent : multiplication  and power to a power5x³ • 2 x ²

Answer 1

We have the following general rule for exponents:

`a^n\cdot a^m=a^(n+m)`

In this case, we can use the commutative property to multiply each factor with their respective common term. Then, we have the following:

`5x^3\cdot2x^2=(5\cdot2)(x^3\cdot x^2)=10x^(3+2)=10x^5`

therefore, the final expression is 10x⁵