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a n = a × a × … × a (n times) Hence x to the power of 1/2 can be written as x (1/2) which is a fractional exponent. Where the number x is called the base, whereas (1/2) is the power or exponent of the expression. Any exponent of (1/2) is actually the square root of that number. Therefore, x (1/2) = √x. Hence, x to the power of 1/2 can be ...
Answer: 2 to the power of 1/2 is √2 or 1.4142…. Let's solve this question step by step. Explanation: Given that, 2 to the power of 1/2. Basically, the rules for exponentiation states that If n is a positive integer and x is any real number, then a n can be represented as: a n = a × a × … × a (n times)
Answer: 1 to the power of 2 can be expressed as 1 2 = 1 × 1 = 1. Let us proceed step by step to find 1 2. Explanation: There are two important terms used frequently in exponents are base and powers. To find 1 to the power of 2, we can write it in exponent form as 1 2. where 1 is base and 2 is power.
Answer: 1/2 to the power of 2 is 1/4 or 0.25. Let's solve this question by using the exponent rules. Explanation: Given that, 1/2 to the power of 2. According to the rule of exponent: 1/2 to the power of 2 can be written as (1/2) 2, where 1/2 is called the base and 2 is the power of the expression. Therefore, we can rewrite (1/2) 2 = 1/2 × 1/2 ...
Simplify : [ (8 to the power (⅓) times 16 to the power (⅓)]/32 to the power (-⅓) Simplify : 625 to the power of -½ to the power -¼ to the power 2 - A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The simplified form of [ [ (625)-½]-¼]2 is 5.
What is 4 to the power of 1/2? In mathematics, a method for expressing powers and roots together is known as a fractional exponent. Answer: 4 to the power of 1/2 is 2. Let's see the solution step by step. Explanation: Given: 4 to the power of 1/2 or 4 (1/2) First, rewrite 4 as 2 2. 4 (1/2) = 2 2 (1/2) Now, we will apply the rules of exponents ...
Step 1: Divide the given power by 4. Step 2: Note the remainder for the division in Step 1, and use it as the new exponent/power of i. Step 3: Calculate the value of iota for this new exponent/power using the previously known values, i = √−1; i 2 = -1 and i 3 = -i. Example: Find the value of i 20296.
For example, 10 4 = 10000. If the exponent is negative, then 10 n = '0 point followed by (n - 1) zeros followed by 1'. For example, 10 -4 = 0.0001. The powers of 10 mean when we express numbers in which the base is 10 and the exponent is an integer. For example, 10^2, 10^3, and 10^6 show the different powers of 10.
Answer: 2 to the power of 1 can be expressed as 2 1 = 2. Let us proceed step by step. Explanation: The two important terms used frequently in exponents are base and powers. To find 2 to the power of 1, we can write it in exponent form as 2 1 where 2 is base and 1 is power. Power should always be written on top of the base. It means 2 is ...
Example 1: Simplify the expression [(x + y) 1/2] 4 using the power of a power rule. Solution: To simplify the algebraic expression [(x + y) 1/2 ] 4 , we will multiply the power 1/2 and 4 and keep the base the same as x + y.