Question

Javier simplified the expression below. Find and
describe the three mistakes he made.

Answer 1

nhbh

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

Explanation:

Answer 2

x²¹ /64

Explanation:

To know the mistake made by Javier, let us simplify the given expression. This can be obtained as follow:

(20x / 5x⁸)¯³ = (20x)¯³ / (5x⁸)¯³

= (5x⁸)³ / (20x)³

= 5³x²⁴ / 20³x³

= 125x²⁴ /8000x³

= 125x²⁴ ÷ 8000x³

Recall

Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ

Therefore,

125x²⁴ ÷ 8000x³ = (125/8000)x²⁴¯³

= (1/64) x²¹ = x²¹/64

Thus,

(20x / 5x⁸)¯³ = x²¹/64