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Exponents describe mathematical operations that can also be written in other ways (although not necessarily in the form of an equation). For example, 103 can also be written as 10 x 10 x 10. The exponent is more succinct. When you get to a number such as 10100 then the exponent is much more succinct. But you could still write it out if you wanted to.

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Q: Is there a mathematical equation that is the same as using exponents?
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Definition to exponential equations?

An exponential equation is one in which a variable occurs in the exponent.An exponential equation in which each side can be expressed interms of the same base can be solved using the property:If the bases are the same, set the exponents equal.


What is 4x4x4x4 using exponents?

It is the same as 44


Why do exponents need to be the same when using scientific notation?

Only if the numbers to be converted into scientific notation are the same otherwise the exponents can vary according to the size the numbers.


When you add number in scientific notation the exponents are what?

When you add numbers in scientific notation, it is best to convert them to their original decimal form, or at least change them so that they have the same exponent. Then when you are finished adding, simply put the solution is proper scientific notation.


Why are numbers expressed using exponents called powers?

Because exponent is the same as power.


Is 0 the same as an equation with no solution?

I understand why you ask...but the answer is no.As a mathematical object, zero is an integer -- a number. As such, zero could easily be a SOLUTION to an EQUATION. But it's not the same as an equation. An equation is a different kind of mathematical object entirely.It's probably a good idea to try looking at zero not as "nothing", but as something: the middle point between positive and negative numbers.


If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?

The exponents are added.


What do you do with the exponents when your adding the bases of the number?

nothing, keep the exponents the same, remember you can only add or subtract when the exponents are the same


When multiplying terms with the same base you do what to the exponents?

Sum the exponents.


What mathematical equation would you use to explain why the sun and the moon appear to be the same size?

The apparent size of an object can be calculated using the equation: apparent size = actual size / distance between observer and object. The sun and the moon appear to be the same size in the sky because even though the sun is much larger than the moon, it is also much farther away from Earth, resulting in them having a similar apparent size when viewed from Earth.


What is the mathematical statement of equality?

The mathematical statement of equality is represented by the symbol "=" and is used to show that two expressions are equivalent or have the same value. It signifies that the quantity on the left side of the symbol is exactly the same as the quantity on the right side.


How do you solve 625 using repeated multiplication of the same factor the using exponents?

5 x 5 x 5 x 5 = 625