The standard form of an exponent is how people see numbers normally. For example, five to the sixth power is in exponent form, and the standard form of this exponent is 15,625.
Continue ReadingExponents also come in an expanded form. When the exponent form is five to the sixth power and the standard form is 15,625, the expanded form is 5x5x5x5x5x5. An exponent tells those performing math calculations how many times the base is a factor, or how many times to multiply the base by itself. In the example of five to the sixth power, the five is the base number. The sixth power, or six, is the exponent.
Learn more about ExponentsIf an exponent is a fraction, such as y^1/n, the correct operation is to take the nth root of the base number y. For example, 27^1/3 is the same thing as taking the cube root of 27, so the answer is 3.
Full Answer >An exponent is a shorthand way of showing how many times to multiply a number by itself. The number 9 with a small raised 3 on its upper right, also commonly expressed as 9^3, represents the base of 9 to the 3rd power, for instance; the raised 3 is the exponent. Simplify multiplication of two exponents with the same base number using exponent addition.
Full Answer >When multiplying or dividing different bases with the same exponent, combine the bases, and keep the exponent the same. For example, X raised to the third power times Y raised to the third power becomes the product of X times Y raised to the third power. When adding or subtracting different bases with the same power, evaluate the exponents first, and then perform the summation.
Full Answer >An expression or variable with negative exponents represents the reciprocal of that expression or variable with the same positive exponent. Write the expression or variable as its reciprocal with the equivalent positive exponent; in other words, write the expression as 1 divided by the expression with its equivalent positive exponent.
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