When the given exponential expression (g³6³p⁷) / (6g²p²p) is simplified, it is equal to 6gp⁴.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential expression can be simplified as shown below.
(g³ × 6³ × p⁷) / (6 × g² × p² × p)
Using the exponential property, xⁿ × xᵇ = x⁽ⁿ⁺ᵇ⁾,
= (6³ × g³ × p⁷) / (6 × g² × p³)
= (6³/6) × (g³/g²) × (p⁷/p³)
Using the exponential property, xⁿ/xᵇ = x⁽ⁿ⁻ᵇ⁾
= 6⁽³⁻¹⁾ × g⁽³⁻²⁾ × p⁽⁷⁻³⁾
= 6¹ × g¹ × p⁴
= 6gp⁴
Hence, when the given exponential expression (g³6³p⁷) / (6g²p²p) is simplified, it is equal to 6gp⁴.
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The answer is 30 please mark brainliest if correct
Answer:
of the doughnuts in the box have frosting and sprinkles.
Step-by-step explanation:
If there are 
doughnuts in the box. Then, 
of the doughnuts in the box have frosting. Therefore, 
of the doughnuts with frosting have sprinkles. This implies that of the doughnuts in the box have frosting and sprinkles.
8 - 15 means subtract the positive number 15 from 8.
8 - 15 = 8 + (-15) = -7
8 - (-15) means subtract the negative number -15 from 8.
Subtracting a negative number is the same as adding a positive number.
8 - (-15) = 8 + 15 = 23
8 - 15 = -7, and 8 - (-15) = 23. The expressions mean different operations and have different answers.
Natasha's age is 81 years and Andrew's age is 31 years
Step-by-step explanation:
- Step 1: From the given details, let the age of Natasha be x, then age of Andrew is x - 50.
- Step 2: Form equations out of their details of ages 6 years ago.
⇒ x - 6 = 3(x - 50 - 6)
⇒ x - 6 = 3(x - 56)
⇒ x - 6 = 3x - 168
⇒ 2x = 162
⇒ x = 81
- Step 3: Calculate Andrew's age
x - 50 = 81 - 50 = 31
