Q17 Prep 2 Algebra T2 Question Bank

a) \(\mathbf{(5a)^0 = ...... ,\ a \neq 0}\)

a) \(\mathbf{5}\)

b) \(\mathbf{a}\)

c) \(\mathbf{5a}\)

d) \(\mathbf{1}\)

\(\mathbf{(5a)^0 = 1}\) (Any non-zero expression to the power of 0 equals 1)

b) \(\mathbf{3x^0 = ...... ,\ x \neq 0}\)

a) \(\mathbf{0}\)

b) \(\mathbf{1}\)

c) \(\mathbf{3}\)

d) \(\mathbf{3x}\)

\(\mathbf{3x^0 = 3}\) (Because x^0 = 1 when x ≠ 0)

c) \(\mathbf{3^{(2^3)} = ......}\)

a) \(\mathbf{3^6}\)

b) \(\mathbf{3^5}\)

c) \(\mathbf{3^8}\)

d) \(\mathbf{3^{32}}\)

\(\mathbf{3^{(2^3)} = 3^8}\) (Because 2^3 = 8)

d) \(\mathbf{(5^2)^3 = ......}\)

a) \(\mathbf{5^6}\)

b) \(\mathbf{5^5}\)

c) \(\mathbf{5^{32}}\)

d) \(\mathbf{5}\)

\(\mathbf{(5^2)^3 = 5^6}\) (Power of a power rule: multiply exponents)

MR/Nasef.N