Question

simplify sqrt (8^17)

a) 8^8 sqrt(8)
b) 8^7 sqrt(8)
c) 2^3 sqrt (8)
d) 2^5 sqrt (8^2)​

Answer 1

Answer:

a) $8^8\sqrt{8}$

Step-by-step explanation:

Given,

$\sqrt{8^1^7$

We have to simplify the expression by using "The Law of Indices".

$x^m\times x^n=x^m^+^n$

So we can rewrite the expression as,

$\sqrt{8^1^7$=$\sqrt{8^1^+^1^6} =\sqrt{8}\times \sqrt{8^1^6}$

Now according to law of indices, which is;

$(x^m)^n=x^m^n$

So we can rewrite the expression as

$\sqrt{8}\times \sqrt{8^1^6}=\sqrt{8}\times (8^1^6)^\frac{1}{2} \ \ \ \ Or\ \ \ \sqrt{8}\times 8^{16\times\frac{1}{2}} = 8^8\sqrt{8$

Hence the final Answer is $8^8\sqrt{8$.

Answer 2

Answer:

a on edge 2021

Step-by-step explanation:

took the test