Final answer:
To find an expression with the same value as 5 to the power of 8, we can use the rule of multiplying exponents.
Step-by-step explanation:
To find an expression with the same value as 5 to the power of 8, we can use the rule of multiplying exponents. Since the exponent is the same, we can simply add the exponents together. Therefore, 5 to the power of 8 can be written as 5 to the power of 1 plus 7, which is 5 to the power of 8.
The expression given is 5 to the 8th power, which is written as 58. To find an expression with the same value, you can use the law of exponents that states when you raise a power to a power, you multiply the exponents.
As an example, the expression (52)4 has the same value because 2 multiplied by 4 equals 8, which means you are multiplying the base number 5 by itself 8 times in total. Therefore, the expression (52)4 is equivalent to 58.