4 to the negative 1 2 power Step 1 Enter an exponential expression below which you want to simplify The exponent calculator simplifies the given exponential expression using the laws of exponents Step 2 Click the blue arrow to submit Choose Simplify from the topic selector and click to see the result in our Algebra Calculator Examples
Free negative exponents calculator apply the negative exponent rule step by step System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi 4 1 7 2 x 6 Description Apply the negative exponent rule step by step Write the reciprocal of the base and change the sign of the exponent to positive Write the reciprocal of the base the same number of times as the exponent Place a multiplication symbol between each Multiply and get the result Here s a quick example 5 1 5 1 5 1 5 1 5 1 5 1 625 0 0016
4 to the negative 1 2 power
4 to the negative 1 2 power
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Negative Exponents Exponents are also called Powers or Indices Let us first look at what an exponent is The exponent of a number says how many times to use the number in a multiplication In this example 82 8 8 64 In words 8 2 can be called 8 to the second power 8 to the power 2 If a number is raised to a negative power it can be rewritten as 1 divided by that number raised to the power e g 2 2 1 2 2 If a number is raised to a power expressed as a fraction it should be rooted e g 4 1 2 4 2
Popular Problems Algebra Evaluate 4 1 2 4 1 2 4 1 2 Move the negative in front of the fraction 4 1 2 4 1 2 Rewrite the expression using the negative exponent rule b n 1 bn b n 1 b n 1 41 2 1 4 1 2 Simplify the denominator Tap for more steps 1 2 1 2 The result can be shown in multiple forms Exact Form 1 2 1 2 To convert a negative exponent create a fraction with the number 1 as the numerator top number and the base number as the denominator bottom number Raise the base number to the power of the same exponent but make it positive
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Solution Use the negative exponent rule a n 1 a n 2 2 3 2 1 2 2 1 3 2 1 4 1 9 Take the Least Common Multiple LCM 9 4 36 13 36 Therefore 2 2 3 2 13 36 Example 2 Solve 1 4 2 1 2 3 Solution Use the second rule with a negative exponent in the denominator 1 a n a n 1 4 2 1 2 3 4 2 2 3 16 8 24 We define a negative power as the multiplicative inverse of the base raised to the positive opposite of the power x n 1 x n Want to learn more about this definition Check out this video Examples 3 5 1 3 5 1 2 8 2 8 y 2 1 y 2 8 6 3 6 8 3 Practice Problem 1 Select the equivalent expression 4 3
Ian Pulizzotto 5 years ago The negative sign on an exponent means the reciprocal Think of it this way just as a positive exponent means repeated multiplication by the base a negative exponent means repeated division by the base So 2 4 1 2 4 1 2 2 2 2 1 16 The answer is 1 16 Online exponent calculator easily compute the power of a given base raised by a given exponent Easy to use exponent calculator practical examples and explanations Application of exponentiation in economics physics biology marketing
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4 to the negative 1 2 power - Kkinley2022 5 years ago When you have a negative power you are taking the reciprocal of the number and keep the power So 2 2 1 2 2 So 4 3 1 4 3 6 comments 51 votes Upvote Downvote Flag Show more