Question

Help with Maths Laws of Indices

1: w³×w-⁶
2: a⁴÷a-²
I need help with both ​

Answer 1

`(1)/( w^(2) )`

`a^(6)`

Explanation:

x^n * x^m = x ^ (n+m)

w^3 * w^ -5 = w^ -2 =
`(1)/( w^(2) )`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x^n ÷ x^m = x^ n-m

a^4 ÷ a^-2 = a^ 4 -(-2) =
`a^( 6)`

Answer 2

w^-2 = 1/w^2

a^6

Explanation:

We know that a^b * a^c = a^( b+c)

w^3 * w^ -5 = w^(3-5) = w^-2

We know that a^-b = 1/a^b

w^-2 = 1/w^2

We know that a^b ÷ a^c = a^( b-c)

a^4 ÷ a^-2 = a^(4 - -2) = a^6