Question

Find the equivalent expression for (1943)^8 using the same bases.

a. (19^8)(43^8)
b. (19*43)^64
c. 19^64 * 43^64
d. (19^43)^8

Answer 1

The equivalent expression for (1943)^8 using the same bases is (19^8)(43^8).

Step-by-step explanation:

The equivalent expression for (1943)^8 using the same bases can be found by raising each of the bases to the power of 8. Therefore, the correct expression is (19^8)(43^8). This is because when raising a number to a power, like 19^8, it is equivalent to multiplying the number 19 by itself 8 times, and the same applies to 43^8. By multiplying the two expressions together, we are effectively multiplying the exponents 8 and 8, which results in the overall exponent of 64.