Question

Choose the correct simplification of m to the seventh power times n to the fourth power all over m to the fourth power times n to the third power.

Answer 1

`m^(3) n`

Explanation:

Simplify
`\frac{m^(7)n^(4)}{{m^(4)n^(3)}}`

We can simplify the expression by by using the quotient rule. Since the numerator is greater than the denominator and of similar terms, we'll subtract the denominator from numerator. This simply means that to divide two exponents with the same base, you keep the base and subtract the powers.

`=m^(7-4)n^(4-3)\\=m^3n`