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Popular >

simplify 2^k-1+2^k

Solution

simplify

2^{k} - 1 + 2^{k}

Solution

2^{1 + k} - 1

Solution steps

2^{k} - 1 + 2^{k}

Group like terms

= 2^{k} + 2^{k} - 1

Add similar elements:

2^{k} + 2^{k} = 2 \cdot 2^{k}

= 2 \cdot 2^{k} - 1

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2^{k} = 2^{1 + k}

= 2^{1 + k} - 1

Popular Examples

10-15x+2=10x+5-11x

10 - 15 x + 2 = 10 x + 5 - 11 x

factor x^4+9x^2+14 factor

x^{4} + 9 x^{2} + 14

4 x - 1 \leq 9

simplify (32y^5z^3)/(8yz^7)simplify

\frac{32 y ^{5} z ^{3}}{8 y z ^{7}}

simplify (12!)/(9!3!)simplify

\frac{12 !}{9 ! 3 !}

Frequently Asked Questions (FAQ)

What is 2^k-1+2^k ?
The solution to 2^k-1+2^k is 2^{1+k}-1