Raising a product or a quotient to a power

Simplify. Assume that no denominator is 0 and that 00 is not considered

├ ( (5a^7)/(2b^5 c)┤)^0

for any nonzero number, x^0 = 1

by the way, your brackets are not balanced.

Try using [ ] instead of those block graphics symbols. They're right there on your keyboard.

raise 10 to the 8th power, then find the quotient of the result and n

To simplify the expression ( (5a^7)/(2b^5 c) )^0, we need to understand the rule for raising a product or a quotient to a power.

The rule states that when you raise a product or a quotient to a power, you can distribute the power to each factor individually. In this case, the expression inside the parentheses is a quotient: (5a^7) / (2b^5 c).

To raise this quotient to the power of 0, we distribute the power of 0 to each factor. Anything raised to the power of 0 is always equal to 1. So, we can rewrite the expression as:

1^0

Now, any number or expression (except 0) raised to the power of 0 is always equal to 1. Therefore, the simplified expression is:

1

So, ( (5a^7)/(2b^5 c) )^0 simplifies to 1.