Q: How do you simplify exponents?

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Use exponents to simplify. Since there are four a's, you can write this as: a4.

it is used to simplify large numbers

7

Exponents can simplify very ugly math problems and their relation to logarithms makes them invaluable. FYI logarithms were invented before exponents.

Exponents can be used to simplify notation when the same factor is repeated

If you're multiplying numbers with exponents, add the exponents. 32 x 33 = 35 If you're raising exponents to a power, multiply the exponents. 3 squared to the third power = 36

22=

When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x

Replace the radical sign with the exponent 0.5. For example sqrt(7) = 70.5

You can make it 4 to the 9th power and you will still get the same answer.

Exponents are numbers that simplify the amount of times a number multiplies by itself. For example, 5^3 would be equal to 5x5x5 which equals 125. In that same number, 5 would be the base and 3 would be the exponent, (aka) the little number on the top right of another number. And yes, exponents CAN have exponents.

A negative exponent becomes positive in the reciprocal. So if you have a number a^x where x is negative, then, a^x = 1/(a^-x) and, since x is negative, -x is positive.