Question

Match each expression with its equivalent simplified expression.

X^5 = ?
1/x = ?
X^6 =?
X^-6=?
X=?

Pick one of these answers and put them were they belong
X^2 * X^3
X^-2 * X^3
X^2 * X^-3
(X^-2)^3
(X^3)^2

Answer 1

x^5 = x^2 * x^3

When there is the same base (which is x) and multiplication is involved, we can add the powers. 2+3=5

1/x can be written as x^-1 as it is the reciprocal of x, which has been flipped upside down

x^-1 = x^2 * x^-3

2 + (-3) = -1, so

1/x = x^2 * x^-3

x^6 = (x^3)^2

Here, you can multiply out the brackets

3×2=6

x^-6 = (x^-2)^3

-2×3=-6

x = x^-2 * x^3

This is because x has a power of 1

-2 + 3 = 1