Question

Describe how you would use the rules of exponents to simplify (7x?yz) 3. You may indicate an exponent in your answer with ^. For

example, 3x2 y?as 3x^2y^2

Answer 1

343x^6y^3z^3

Explanation:

One of the rules of exponents demands:

`(abc)^m=a^mb^mc^m`

where a, b, c and m are coefficients.

Furthermore, you use the following rule for exponents of variables that already have an exponent:

`(a^n)^m=a^(m*n)`

Thus, you can apply this rules in the following way:

`(7x^2yz)^3=(7)^3(x^2)^3(y)^3(z)^3=7*7*7x^(2*3)y^3z^3=343x^6y^3z^3`

hence, the answer is 343x^6y^3z^3