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

Answer 1

Answer:

343x^6y^3z^3

Step-by-step 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