Question

In which expression should the exponents be multiplied?

a. 2^9
b. 27^5
c. (6^19)^7
d. 5^2 * 54

Answer 1

The expression in which the exponents should be multiplied is option d. 5^2 * 54.

Step-by-step explanation:

The question is about understanding the order of operations involving exponents. Exponents should be multiplied when they are part of the same base and there is another exponent or multiplier involved. Let's analyze the given expressions The expression in which the exponents should be multiplied is option d. 5^2 * 54. When we have two exponents being multiplied, we multiply the bases and add the exponents. In this case, the base is 5 and the exponents are 2 and 4. So, 5^2 * 54 = 5^(2+4) * 5^4 = 5^6 * 5^4 = 5^10. Therefore, the expression 5^2 * 54 should have the exponents multiplied.