# Questions tagged [exponentiation]

Questions about exponentiation, the operation of raising a base $b$ to an exponent $a$ to give $b^a$.

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### Unary minus on squared number

According to algebra as I know it, $-2^2 = 4$, but most calculators expand this to $-2 * 2 = -4$, which yields a different answer. This is because of the order of precedence. In traditional math, I'...
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### How do I solve $(1/4)^{x+1}+(1/4)^x=20$? [closed]

I already know that I'm supposed to get is $5/4(1/4)^x$ after factoring, but I have absolutely no idea how to get there. Here's what I've done thus far, $(1/2^2)^{x+1}+(1/2^2)^x$ Not sure from there ...
1 vote
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### Find $n^ 1 +n^2+\dots. + n^k$? [duplicate]

How do I find $n^ 1 +n^2+\dots. + n^k$? I found a post that asks about $n ^ 1 + n ^ 2 +\dots+ n^{n - 1}$, but I only want until $n^k$, and I can't apply the answer of that post to fit in my use. ...
214 views

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### Is there an algorithm to split a number into the sum of powers of 2?

Am I able to split, lets say 76, into the sum of powers of two, through an algorithm and without cycling through possible combinations? For the example above, the answer would be '2^6+2^3+2^2' or ...
109 views

### Can we call $\frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a d}{b c}$ a Law of exponents?

Can we call $\frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a d}{b c}$ a Law of exponents? Sorry if my question is silly. I proved this using the well known laws of exponents \$\frac{...