1. (5^{2})^{5} = 5^{10}
Power raised to a power → multiply the exponents. 
2. (1.2^{4})^{5} = 1.2^{20}
Decimal base: Power raised to a power → multiply the exponents.

3. ((10)^{3})^{5} = (10)^{15}
Negative number base: Power raised to a power → multiply the exponents.

4.
Fraction base: Power raised to a power → multiply the exponents. 
5.
One of the exponents is negative. Still follow the rule and multiply the exponents. Be careful of the sign. In this case a positive number times a negative number gives a negative number.

6. (a^{4})^{3} = a^{12}
Variable base: Power raised to a power → multiply the exponents. 
7. (2^{x})^{y}= 2^{xy}
Power raised to a power → multiply the exponents.

8. (x^{2})^{x+2} = x^{2x+4}
Power raised to a power → multiply the exponents.
