Answer:
The expression that fits into the box is x¹⁵⁸
Step-by-step explanation:
Let the empty box be y
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Here, we will apply the laws of indices.
The laws of indices gives the answer for the expressions
1) xᵏ × xˢ = xᵏ⁺ˢ
2) xᵏ ÷ xˢ = xᵏ⁻ˢ
3) (xᵏ)ˢ = xᵏ•ˢ
So,
(x¹²)⁵ = x⁶⁰
(x⁻²)⁹ = x⁻¹⁸
(x⁴⁰)⁵ = x²⁰⁰
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Becomes
x⁶⁰ × x⁻¹⁸ × y = x²⁰⁰
x⁶⁰⁻¹⁸ × y = x²⁰⁰
x⁴² × y = x²⁰⁰
y = x²⁰⁰ ÷ x⁴²
y = x²⁰⁰⁻⁴² = x¹⁵⁸
Hope this Helps!!!
Answer: The second one
Step-by-step explanation:
Answer:
487
Step-by-step explanation:
We can use this formula to find the 60th term:
8n+7
Answer:
where the qutsion
Step-by-step explanation:
49/179 is already in simplest form!
