Hint
Use the stated units and precision. Combine the exponents for the stated operation, then evaluate the resulting power.
Worked solution
(a)
Combine the exponents for the stated operation, then evaluate the resulting power.
\(81\)
Answer: \(81\)
(b)
Combine the exponents for the stated operation, then evaluate the resulting power.
\(\displaystyle \frac{1}{3}\)
Answer: \(\displaystyle \frac{1}{3}\)
(c)
Combine the exponents for the stated operation, then evaluate the resulting power.
\(27\)
Answer: \(27\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Combine the exponents for the stated operation, then evaluate the resulting power.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Combine the exponents for the stated operation, then evaluate the resulting power.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Combine the exponents for the stated operation, then evaluate the resulting power.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.