Answer:
1. no
yes
yes
2. d¹/³ b is the final answer
Step-by-step explanation:
1. a surd is just an irrational number, so a radical or a never-ending decimal
2.
simplify like we did to the others by distributing the exponent through the parentheses, then combining like terms, and finally combining fractions.
b⁻⁵(cd⁻¹)³ → b⁻⁵c³d⁻³
d(bc²)⁻¹ → d b⁻¹c⁻²
d⁻⁵b⁻⁸ → d⁻²b⁻³ → d⁻²b⁻³c⁻³
b⁻⁵c³d⁻³ c³
d b⁻¹c⁻² → d b⁻⁴c⁻³
b³c
divide
d⁻²b⁻³c⁻³ → d⁻³b
d b⁻⁴c⁻³
positive indices are just positive exponents; it wants you to make the exponents positive. to do that you find the reciprocal, so you turn the negative exponent into a fraction under the number one and get rid of the negative.
d¹/³b
