3 to the power of 8, also expressed as 38, represents 3 multiplied by itself 7 more times. To calculate it, you can follow the steps: First, understand that 38 equals 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3. Next, perform the multiplication: 3 × 3 = 9 … Read more
To find the result of dividing 6 by 1/4, we need to understand how division by a fraction works. When you divide by a fraction, it’s the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping the numerator and the denominator. In this case, 1/4 has a reciprocal of 4/1, … Read more
To find out what percentage 75 is of 90, you can use a simple formula for calculating percentage. The formula is: Percentage (%) = (Part / Whole) × 100 In this case, the ‘Part’ is 75 and the ‘Whole’ is 90. Plugging these numbers into the formula gives: Percentage (%) = (75 / 90) × … Read more
To find 5 raised to the power of 6, we need to multiply 5 by itself six times. This is represented mathematically as: 56 = 5 × 5 × 5 × 5 × 5 × 5 Now, let’s break it down step by step: Initial multiplication: 5 × 5 = 25 Next, multiply the result … Read more
To find the sine, cosine, and tangent of the angle 8π/6, we first simplify the angle since it is greater than 2π. We can convert this angle into a more manageable form by using the periodicity of the trigonometric functions, which have a period of 2π: 1. **Simplify the angle:** 8π/6 can be simplified to … Read more
To calculate 9 to the power of 12, we need to multiply the number 9 by itself a total of 12 times. This operation is referred to as exponentiation, where 9 is the base and 12 is the exponent. So, we express this as: 9^12 = 9 × 9 × 9 × 9 × 9 … Read more
To find the derivative of the function y = tan(2x), we will apply the chain rule, which is a fundamental technique in calculus for finding the derivative of composite functions. Step 1: Understand the Components In our case, we have a composition of two functions: the tangent function and the inner function 2x. The derivative … Read more
The given sequence is 3, 9, 27, 81. To find the next three terms, we first need to identify the pattern in the sequence. Let’s analyze the terms: The first term is 3
To write two hundred million as a number, you simply convert the words into digits. The number two hundred million can be broken down as follows: Two hundred = 200 Million = 1,000,000 Therefore, when you combine these parts, you get: 200 x 1,000,000 = 200,000,000 In summary, two hundred million is written as 200,000,000 … Read more
The expression ’10 of 10′ is often used to denote perfection or the highest possible rating in a given context. It suggests that something has achieved an ideal standard, achieving full marks in a scoring system where 10 is the maximum. This phrase can be applied in various scenarios, such as grading systems, performance evaluations, … Read more