simplify the expression: (1×(((1)/(2))^(n)-1))/(((1)/(2)-1)) x ( ) 7 8 9 ÷ ◻^(2) sqrt◻ (◻)/(◻) 4 5 6 x int (d)/(dx) lim 1 2 3 - sin log e^(◻) * 0 = + larr rarr larr x Go

Simplify Denominator: The question prompt is asking us to simplify the expression: (1×(((1)/(2))^(n)-1))/(((1)/(2)-1)). First, let's simplify the denominator: (1/2) - 1 = 1/2 - 2/2 = -1/2.Rewrite Expression: Now, let's rewrite the expression with the simplified denominator: (1×(((1)/(2))^n - 1)) / (-1/2).Multiply by Reciprocal: We can simplify the expression further by multiplying the numerator by the reciprocal of the denominator: (1×(((1)/(2))^n - 1)) * (-2/1).Simplify Further: Multiplying through, we get: -2 * (((1)/(2))^n - 1) = -2 * ((1/2)^n) + 2.Write Final Answer: The expression is now simplified, and we can write the final answer.

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simplify the expression:
(1×(((1)/(2))^(n)-1))/(((1)/(2)-1))

x
(
)
7
8
9

÷

◻^(2)

sqrt◻

(◻)/(◻)
4
5
6

x

int

(d)/(dx)

lim

1

2

3
-

sin

log

e^(◻)

*
0

=
+

larr

rarr

larr

x

Go

Simplify the expression: $\frac{1\times\left(\left(\frac{1}{2}\right)^n-1\right)}{\left(\frac{1}{2}-1\right)}$

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Math Problems

Calculus

Evaluate definite integrals using the chain rule

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Q. Simplify the expression:

\frac{1\times\left(\left(\frac{1}{2}\right)^n-1\right)}{\left(\frac{1}{2}-1\right)}

Simplify Denominator: The question prompt is asking us to simplify the expression: $(1\times(((1)/(2))^{n}-1))/(((1)/(2)-1))$ . First, let's simplify the denominator: $(1/2) - 1 = 1/2 - 2/2 = -1/2$ .
Rewrite Expression: Now, let's rewrite the expression with the simplified denominator: $\frac{1\times\left(\left(\frac{1}{2}\right)^n - 1\right)}{-\frac{1}{2}}$ .
Multiply by Reciprocal: We can simplify the expression further by multiplying the numerator by the reciprocal of the denominator: $1\times\left(\left(\frac{1}{2}\right)^n - 1\right) \times \left(-\frac{2}{1}\right)$ .
Simplify Further: Multiplying through, we get: $-2 \times \left(\left(\frac{1}{2}\right)^n - 1\right) = -2 \times \left(\frac{1}{2}\right)^n + 2$ .
Write Final Answer: The expression is now simplified, and we can write the final answer.