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This can be seen clearly in the case of positive integer exponents, from the definition of powers as repeated multiplications. Here is an example (I will use the symbol "^" for powers):

10^2 x 10^3

= (10 x 10) x (10 x 10 x 10)

= 10^5

As you can see, in this example - and in any similar example you can invent - when you write out the factors, you get as many factors as there are factors in the individual parts. In the above example, the first part has two factors, the second part has three factors, so if you combine them, you have five (2 + 3) factors.

For zero, negative, or non-integer exponents, the rule still applies; in this case, it is simply defined this way for consistency.

Q: Why do we add the exponent when we use the product rule?

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"It is easy to use an exponent in a sentence." There, that sentence uses it!

Paranthisis Exponent Multiply Divide Add Subtract you use pemdas for instance (2/3 x 3/2)3 + 5 = 8

If that is a simple product, just use the product rule. If there is a power involved - that is not always clear in the question - you must use logarithmic differenciation.

If you want to use a number line to add and subtract, it can be done with a slide rule. But it is much easier to use an electronic calculator.

Sure. It may not be very useful to use 1 but any number is eligible to be an exponent.

Related questions

"It is easy to use an exponent in a sentence." There, that sentence uses it!

Paranthisis Exponent Multiply Divide Add Subtract you use pemdas for instance (2/3 x 3/2)3 + 5 = 8

use the number line

the rule is when there is 'sh' in some words we cant use s

no one will answer i tryed....

How do you use an exponent to represent a number such as 16

There are different symbols for multiply, dividing and subtracting. You can use the symbols like "x, / and -".

the product rule is included in calculus part.Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two functionsif you need more explanation, i want you to follow the related link that explains the concept clearly.

The exponent tells how many times the base is used as a factor.

... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".... -3, -2, -1, 0, 1, 2, 3, ...In summary, any integer that you use as an exponent is an "integral exponent".

If that is a simple product, just use the product rule. If there is a power involved - that is not always clear in the question - you must use logarithmic differenciation.

Just use the power rule for each part, and add or substract. The answer is y + 7y2/2 - y3/3 + CJust use the power rule for each part, and add or substract. The answer is y + 7y2/2 - y3/3 + CJust use the power rule for each part, and add or substract. The answer is y + 7y2/2 - y3/3 + CJust use the power rule for each part, and add or substract. The answer is y + 7y2/2 - y3/3 + C