(x^15)(x^-3) = x^(15 + (-3)) = x^12
n = 12
Answer:
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.
Step-by-step explanation:
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Answer:
look down below
Step-by-step explanation:
We know that AB = DC, and BC = AD, ∠B = ∠D because they are given
So, ΔABC ≅ ΔCDA because of SAS congruency
Answer:
x=5
Step-by-step explanation:
x=5
Answer:
The answer to your question is The volume in terms of π is 1944π m³
Step-by-step explanation:
Data
diameter = 18 m
height = 19 m
Process
1.- Calculate the volume of the cone
Formula
Volume = πr²h / 3
radius = 18/2
= 9 m
-Substitution
Volume = π(9)²(19)/3
-Simplification
Volume = π(81)(19)/3
-Result
Volume = 513 π m²
2.- Calculate the volume of a semi-sphere
- Formula
Volume = 4/6 πr³
- Substitution
Volume = 4/6 π (9)³
-Simplification
Volume = 4/6 π (729)
-Result
Volume = 486π
3.- Calculate the total volume
Volume = 513π + 486π
Volume = 999π m³