In this worksheet, we will practice simplifying algebraic expressions using the rules of exponents.
Q1:
Factor out the greatest common factor to rewrite the expression 2−8.
Q2:
Which of the following numbers is the expression 3+3 divisible by for all natural numbers 𝑥?
Q3:
Simplify 0.3𝑘.
Q4:
If 45𝑥𝑦 and 35𝑥𝑦 are like terms, what are the values of 𝑚 and 𝑛?
Q5:
Simplify 𝑥×𝑥𝑥×𝑥, where 𝑥≠0.
Q6:
Given that 𝐴𝐷=𝑥𝑦cm and 𝐶𝐵=6𝑥𝑦cm, determine, in its simplest form, the algebraic expression that represents the area of triangle 𝐴𝐵𝐶.
Q7:
Complete the following: −64𝑏=().
Q8:
Simplify 16𝑎8𝑎, leaving your answer in exponential form.
Q9:
Simplify 29𝑎𝑏.
Q10:
Complete the following: 14𝑥𝑦⋯=2𝑥6𝑦.
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