Question

Easton simplified the following expression:

(x^2y^6z^5)(x^4y^5z^3)

If he writes his answer in the form of x^a^y^b^z^c, what is the value of b, the exponent on y?

Answer 1

Any ideas?

Answer 2

First thing write it using standard notation: $$(x^2*y^6*z^5)(x^4*y^5*z^3)$$

Answer 3

To multiply two powers having the same base you add the exponents.

Answer 4

$$y^6= y*y*y*y*y*y$$ $$y^5=y*y*y*y*y$$
$$y^6*y^5= (y*y*y*y*y*y)(y*y*y*y*y)$$

Answer 5

What is the value of b, the exponent on y?

Answer 6

It dose not tell me what the value of b or the exponent y.

Answer 7

Yes, the question is asking you to calculate that.

Answer 8

To multiply two powers having the same base you add the exponents.

Answer 9

$$6+5=?$$

Answer 10

$$?=b$$ which is the exponent on $$y^b$$

Answer 11

If he writes his answer in the form of $$x^ay^bz^c$$,

Answer 12

b is the exponent of y

Answer 13

$$(x^2y^6z^5)(x^4y^5z^3)=x^ay^bz^c$$