Answer:
TRANSLATION
Step-by-step explanation:
3 over -7
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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Answer:
<h2><u><em>
60</em></u></h2>
Step-by-step explanation:
If 12 men are needed to run 4 machines. How many men are needed to run 20
we can solve with an equation
12 : 4 = x : 20
x = 12 * 20 : 4
x = 240 : 4
<u><em>x = 60</em></u>
<u><em>----------------------------</em></u>
check
12 : 4 = 60 : 20
3 = 3
<u><em>the answer is good</em></u>
16 - 5(3t - 4) = 8(-2t + 11) <em>use distributive property</em>: <em>a(b + c) = ab + ac</em>
16 - (5)(3t) - (5)(-4) = (8)(-2t) + (8)(11)
16 - 15t + 20 = -16t + 88
36 - 15t = -16t + 88 <em>subtract 36 from both sides</em>
-15t = -16t + 52 <em>add 16t to both sides</em>
t = 52