Hint
Use the stated units and precision. Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
Worked solution
(a)
Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
\(216\)
Answer: \(216\)
(b)
Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
\(36\)
Answer: \(36\)
(c)
Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
\(1296\)
Answer: \(1296\)
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: Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
- 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: Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
- 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: Convert the denominator of the exponent to a root, then apply the numerator and any reciprocal.
- 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.