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Surds and Indices

Surds and Indices: Formulas, Shortcuts and Solved Examples

Take the number 2 and multiply it by itself ten times. Writing 2 × 2 ×…
(2)^5 x (2)^4 ÷ (2)^7 is equal to which of these?
(2)^2 x (2)^3 ÷ (2)^4 is equal to which of these?
The surd ⁿ√33 written with order 5 (i.e. the 5-th root of 33) is a surd of what order?
(14)^11 ÷ (14)^4 = (14)^?
(3)^7 x (3)^4 ÷ (3)^10 is equal to which of these?
(2)^9 x (2)^4 ÷ (2)^7 is equal to which of these?
(2)^7 x (2)^10 ÷ (2)^13 is equal to which of these?
(2)^3 x (2)^6 ÷ (2)^2 is equal to which of these?
(3)^2 x (3)^3 ÷ (3)^3 is equal to which of these?
(2)^7 x (2)^4 ÷ (2)^5 is equal to which of these?
The law (a/b)ⁿ expands to which of these?
The law (ab)ⁿ expands to which of these?
A surd is defined as which of these?
Among 4¹, 1⁴, 4⁰, and 0⁴, which two values are equal to each other?
What is the value of any nonzero number raised to the power 0?
√3 x √3 = ?
√2 x √2 = ?
√32 x √32 = ?
√18 x √18 = ?
√5 x √5 = ?
√7 x √7 = ?
The surd ⁿ√40 written with order 5 (i.e. the 5-th root of 40) is a surd of what order?
The surd ⁿ√24 written with order 5 (i.e. the 5-th root of 24) is a surd of what order?
The surd ⁿ√45 written with order 4 (i.e. the 4-th root of 45) is a surd of what order?

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