Answer:
(c) 64 a to power (6)
Step-by-step explanation:
We will use the following property:
[tex]\displaystyle (a^b)^c = a^{bc}[/tex]
We are given:
[tex]\displaystyle x^{5y} = 2a[/tex]
and we need to find the value of [tex]\displaystlye x^{30y}[/tex]
Notice that the power of x in the second expression is 6 times the power of x in the given equation.
If we raise the given equation by a power of 6, we will get the expected power of x. (using the property mentioned)
raising the given equation by a power of 6:
[tex]\displaystyle (x^{5y})^6 = (2a)^6[/tex]
[tex]\displaystyle x^{30y} = 64a^6[/tex]
Hence the correct answer is (c) 64 a to power (6)
