What is the simplest form of the product?

Question

anonymous · Answer

attachment

jennychan12 · Answer

just multiply the inside sqrt(30x^8y^11)

anonymous · Answer

I'm not sure what you mean

jennychan12 · Answer

$$\sqrt{30x^8y ^{11}}$$

anonymous · Answer

I knew what it would look like but I'm not sure how you got that.

campbell_st · Answer

ummm isn't it 

$$\sqrt{50\times 6 \times x^7 \times x^1 \times y^7 \times y^4}$$

which is 

$$\sqrt{300x^8y^{11}}$$

which can be simplified further

$$\sqrt{100x^8y^{10}} \times \sqrt{3y}$$

jennychan12 · Answer

oh sorry multiplication mistake...
my bad.
but the exponents are correct

anonymous · Answer

Oh ok

jennychan12 · Answer

$$\sqrt{300x^8y ^{11}}$$ is what i meant to type.

campbell_st · Answer

so you will have 

$$((10)^2x^8y^{10})^{\frac{1}{2}} \times \sqrt{3y}$$

use the power of a power law

$$(x^a)^b = x ^{a \times b} $$

to simplify the 1st part in brackets