Question

James asks Alan how far it is from his house to school. Alan replies: “If you square the distance and multiply it by the distance to the power of 3 you get 32” How far is Alan’s house from school (in kilometres)?

Answer 1

Answer:

2 km

Step-by-step explanation:

take the distance as 'x' kilometres

According to the question we have:

x² × x³=32

x²+³=2⁵[2⁵=32]

x⁵=2⁵

since powers are same we can equate the bases

this implies x=2

therefore distance=2 km