Question

Which exponential expression is equivalent to the one below?

(54-6-13)⁶⁶
a) 66 ⋅ (54 ⋅ (-13))
b) (54)⁶⁶ ⋅ (-13)⁶⁶
c) (54) ⋅ (-13)⁶⁶
d) (54)⁶⁶ + (-13)⁶⁶

Answer 1

The exponential expression (54-6-13)⁶⁶ is equivalent to option d) (54)⁶⁶ + (-13)⁶⁶.

Step-by-step explanation:

The exponential expression (54-6-13)⁶⁶ is equivalent to option d) (54)⁶⁶ + (-13)⁶⁶.

To simplify the expression, we need to apply the exponent to both terms inside the parentheses separately.

(54-6-13)⁶⁶ = (54⁶⁶) + (-6-13)⁶⁶.

Using the power of a power rule, we can multiply the exponents:

(54⁶⁶) + (-6-13)⁶⁶ = (54)⁶⁶ + (-19)⁶⁶.

Therefore, option d) (54)⁶⁶ + (-13)⁶⁶ is the equivalent exponential expression to (54-6-13)⁶⁶.