Answer: 729
Step-by-step explanation:
Move items with negative exponents from numerator to denominator or vice versa and change sign of exponent. Factorize composite numbers, say 10^3 = 2^3 × 5^3 and 81 = 3^4. Combine factors with same base, adding exponents. Cancel factors appearing in both numerator and denominator, subtracting exponents.
5^-3×6^-5×81×4/(3^-7×10^-3)
= 3^7×10^3×81×4/(5^3×6^5)
= 3^7×2^3×5^3×3^4×2^2/(5^3×2^5×3^5)
= 2^5×3^11×5^3/(2^5×3^5×5^3)
= 3^6
= 729
Answer:
2
Step-by-step explanation:
Let, the number be 'x'.
As per question,
4×x+3=11
subtracting 3 on both sides,
4x=8
dividing by 4 on both sides
x=2.
hence, the number is 2.
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<h3>Answer = -7</h3>
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<h3>Known</h3>
a = 13
U2 = 6
U3 = -1
U4 = -8
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<h3>Question</h3>
d = ..?
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<h3>Way to do </h3>
#since it gives a lot of number, i will just pick one of the nth term, ill choose U2
Un = a + (n-1)d
U2 = 13 + (2-1)d
6 = 13 + d
6 - 13 = d
d = -7
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<h3>Note</h3>
• The formula of arithmetic sequence
<h2>Un = a + (n-1)d</h2>
n = nth term
a = first term
d = common difference
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Answer: 784π mm²
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is shown below.
Area = πr²
Notice that here, we're given the diameter instead of the radius.
Remember that the radius is equal to half of the diameter. So the radius of this circle will be equal to half 56 millimeters or 28 millimeters.
So plugging into the formula, we have (π)(28 mm)².
A common mistake is to plug 56 millimeters into the formula but remember that we must plug in the radius and not the diameter.
Multiplying, (28 mm)² is equal to (28 mm)(28 mm) or 784 mm².
So we have 784π mm².
So the area of the circle is 784π mm².
