Question

Select all the pairs of equivalent expressions.

a)(43)^3 and 43.43
b)(34)^4 and 38.38
c) 64.34 and 18
d)43. 53 and 203

Answer 1

The pairs of equivalent expressions are: (43)^3 and 43.43, and 64.34 and 18.

Step-by-step explanation:

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable. Looking at pairs of equivalent expressions, we must consider the operations being applied to numbers and variables inside and outside the parentheses. For example, when raising expressions to a power, such as (27x^3) raised to the fourth power, it's important to recall that the exponent applies to each term within the parentheses. Furthermore, combining expressions in scientific notation follows the rule that both expressions must have the same exponent.

The pairs of equivalent expressions are:

a) (43)^3 and 43.43

c) 64.34 and 18