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For example, 2 to the power 3 means 2 is multiplied 3 times. Answer: 2 to the power 5 can be expressed as 2 5 = 2 × 2 × 2 × 2 × 2 = 32. Let us proceed step by step to find 2 5. Explanation: There are two important terms used frequently in exponents, which are base and powers. To find 2 to the power of 5, we can write it in exponent form as ...
The exponent or power of a number shows how many times the number is multiplied by itself. Answer: The value of 2 to the 5th power i.e., 2 5 is 32. Let us calculate the value of 2 to the 5th power i.e., 2 5. Explanation: According to the Power Rule of Exponents, a m = a × a × a... m times. Thus, 2 5 can be written as 2 × 2 × 2 × 2 × 2 = 32
Answer: 5 to the power of 2 can be expressed as 5 2 = 5 × 5 = 25. Let us proceed step by step to find 5 2. Explanation: There are two important terms used frequently in exponents which are base and powers. To find 5 to the power of 2, we can write it in exponent form as 5 2, where 5 is base and 2 is power. Power should always be written on top ...
Answer: 5 to the power of negative 2 is 0.04. Let's understand the solution. Explanation: When we calculate anything to the power of a negative number, the magnitude of the result is always less than one. Here, we have to solve 5 to the power of -2. ⇒ 5 -2 = 1/5 2 = 1/ (5 × 5) = 1/25 = 0.04. Check out the exponent calculator to make your ...
Answer: 1/2 to the power of 5 is 1/32 or 0.03125. We will solve this question by using the exponent rules. Explanation: Given, 1/2 to the power of 5. According to the rule of exponent: 1/2 to the power of 5 can be written as (1/2) 5. Where 5 is the exponent of the expression and 1/2 is called the base. Therefore, we can rewrite (1/2) 5 = 1/2 × ...
Example 1: Find the value of (-2 2) 5. Solution: To simplify the expression (-2 2) 5, we apply the power to the power rule and multiply the powers 2 and 5. (-2 2) 5 = (-2) 2×5 = (-2) 10 = 2 10--- [Because the power 10 is even] = 1024. Example 2: Simplify the expression (x-5) 9. Solution: We can observe that the expression (x-5) 9 has a ...
Answer: 2 to the power of 0 can be expressed as 2 0 = 1. 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 0, we can write it in exponent form as 2 0, where 2 is base and 0 is power. Power should always be written on top of the base. Here we observe that ...
For example, (4/5)-2 can be written as (5/4) 2. Similarly, a negative power of 10, like 10-3, can be written as 1/10 3, or, 1/(10 × 10 × 10) = 1/1000 = 0.001. Just like how we have some peculiar names for positive powers of 10, we have some names for some negative powers of 10 as well. A few of them are given in the following table.
Answer: 2 to the power of 15 can be expressed as 2 15 = 2 × 2 × 2 × … 15 times = 32,768. Let us proceed step by step to write 2 to the power of 15. Explanation: The two crucial terms used frequently in exponents are base and powers. To find 2 to the power of 15, we can write it in exponent form as 2 15, where 2 is the base and 15 is the ...
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.