Use properties of exponents to rewrite the following expressions as a number or an exponential expression with only one exponen.
1 answer:
Answer:
[(√2)^√2]^√2 = 2¹ = 2
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(√2)^√2]^√2
Now let´s rewrite it using fractional exponents (√2 = 2^1/2):
[(2^1/2)^2^1/2]^2^1/2
Let´s use the following property of exponents: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
1/2 · 2^1/2 · 2^1/2
Now, let´s use the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
1/2 · 2^(1/2 + 1/2) = 1/2 · 2¹ = 1
Then, the expression can be written as:
[(√2)^√2]^√2 = 2¹ = 2
Have a nice day!
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$219.6
Step-by-step explanation:
we know that
The sell price is equal to the cost price plus the profit
Let
C ----> the cost price
S----> the sell price
P ----> the profit
so
S=C+P
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<em>Find the sell price</em>
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