In this worksheet, we will practice performing operations and simplifications with expressions that involve rational exponents.
Q1:
Simplify −64𝑎𝑏, where 𝑎 and 𝑏 are positive constants.
Q2:
Simplify (0.25)(1.8)8.
Q3:
Simplify 𝑎×(𝑎)𝑎×(32𝑎), where 𝑎 is a positive constant and 𝑎≠1.
Q4:
Simplify 45×(63)×3225×(21).
Q5:
Determine the simplest form of (16)×27(144)×√81.
Q6:
Simplify 4×252×50.
Q7:
Simplify (36)×86×(12)×√16.
Q8:
Expand −𝑎+1𝑎, where 𝑎 is a real constant.
Q9:
Simplify (0.8)×(36)×5(30)×(1.25).
Q10:
Simplify (36)×(21)×(8)(486)×(42).
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