Answer:
see below
Step-by-step explanation:
a. 5c²d³ x 2d multiply the whole numbers first which gives you
10c²d³d
Now you can combine the d variable. d is the same as d¹ so now you can add the exponents.
10c²d⁴
b. 64 x 4⁵ first convert 64 into a power of 4. 4 x 4 x 4 = 64 which is 4³
So now you have 4³ x 4⁵. Add the exponents together since the base number is the same (4). Answer is 4⁸. That is 4 to the 8th power if you can't see it.
c. p³ x (p⁵)² first take the last part. When raising the power of an exponent, you multiply the exponent by the power or 5 x 2. So that is now p¹⁰.
Now you have p³ x p¹⁰. The bases are the same so you add the exponents.
Answer is p¹³
