Question

Choose the correct simplification of the expression (d3)5.

Answer 1

i got d15 but am not sure if thats correct

Answer 2

yes, that is correct. btw, you should write it as d^15 (the uparrow means the 15 is an exponent.)

\[ (d^3)^5 \text{ means } (d^3)(d^3)(d^3)(d^3)(d^3) \]
d^3 times itself 5 times
but d^3 means d*d*d so we get
\[ (d^3)^5 = (d\cdot d\cdot d) (d\cdot d\cdot d) (d\cdot d\cdot d) (d\cdot d\cdot d) (d\cdot d\cdot d)\]
or
\[ (d^3)^5 = d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\cdot d\]
now we can count up the d's. of course it is faster to just multiply 3*5=15 (a good trick to remember)

Answer 3

thanks, that really helpful ........... ill save this in my notes