Question

Please help me simplify these expressions

Answer 1

1.
`x^(11)` 2. 10
`n^(9)` 3. 6
`x^(10)`

Explanation:

1.
`x^(11)`

Imagine the expression is written like this:

(x)(x) * (x) * (x)(x)(x) * (x)(x)(x)(x)(x)

Simply add up the number of x's and have that number be the exponent.

There are 11 x's, so it will be
`x^(11)`

2. 10
`n^(9)`

Do the same as above, but this time remember that two negatives equal a positive.

10
`n^(9)`

3. 6
`x^(10)`

Again, two negatives equal a positive.

-3 x 2 x -1 = 6

Do the same as the above two.

6
`x^(10)`

Answer 2

Explanation:

If base of variable is same, add the powers

1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹

2) -2n² * -n⁴ * 5n³ = (-2* -1* 5 ) *n²⁺⁴⁺³ = 10n⁹

3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰