Numbers with exponents

This task is about solving maths problems with exponents.

Some students were giving answers to maths problems written with exponent notation. 

Identify which student is correct and explain why. Do NOT use a calculator in this problem.

Question

a)

 

 "What is 56 × 53?"

  • Awhina said "It equals 259".
  • Rosa said "It equals 56".
  • Karaka said "It equals 59".
  • Hari said "It equals 518".
  • Sarah said "None of your answers are right".
     Which student is correct?

    • Awhina

    • Rosa

    • Karaka

    • Hari

    • Sarah

Explain your answer

Question

b)

 

 "What is 78 ÷ 72?"

  • Awhina said "It equals 74".
  • Rosa said "It equals 76".
  • Karaka said "It equals 710".
  • Hari said "It equals 716".
  • Sarah said "None of your answers are right".
Which student is correct?

    • Awhina

    • Rosa

    • Karaka

    • Hari

    • Sarah

Explain your answer

Question

c)

 

 "What is 26 × 43?"

  • Awhina said "It equals 86".
  • Rosa said "It equals 69".
  • Karaka said "It equals 818".
  • Hari said "It equals 212".
  • Sarah said "It equals 618".
Which student is correct?

    • Awhina

    • Rosa

    • Karaka

    • Hari

    • Sarah

Explain your answer