Question

How do I express (x^m y^n z^p)^q as a base raised to a power or as the product of bases raised to powers that is equivalent to the given expression?

Answer 1

To express (x^m y^n z^p)^q as a base raised to a power or as the product of bases raised to powers, multiply the exponents.

Step-by-step explanation:

When we have an expression in the form (x^m y^n z^p)^q, we can use the rule that raising a power to another power is the same as multiplying the powers. So, to express the given expression as a base raised to a power or as the product of bases raised to powers, we multiply the exponents:

(x^m y^n z^p)^q = x^(m*q) y^(n*q) z^(p*q)

For example, if we have (2^3 3^4)^2, then we can express it as 2^(3*2) 3^(4*2) = 2^6 3^8 = 64 6561.