When we raise any non-zero number to the power of 0, the result is always 1. This mathematical rule applies universally regardless of the base number used. In this case, when we calculate 60, we apply this rule: Base: 6 Exponent: 0 According to the rule, 60 = 1. This concept can often be surprising … Read more
The expression “10 to the 10th power”, commonly written as 1010, represents a mathematical operation known as exponentiation. In this case, the number 10 is known as the base, and the exponent (or power) is 10. This means that you multiply the base (10) by itself a total of 10 times. In simpler terms: 1010 … Read more
If you earn $10 per hour and work 40 hours a week, calculating your gross pay is straightforward. Gross pay refers to the total earnings before any deductions, such as taxes or insurance. To find your gross pay for the week, you can simply multiply your hourly wage by the number of hours worked: Gross … Read more
To find the value of sin(37°) * sin(53°) * tan(37°) * tan(53°), we can make use of some trigonometric identities and properties. First, let’s recall that: sin(53°) can be expressed as sin(90° – 37°) = cos(37°) tan(53°) can be expressed as tan(90° – 37°) = cot(37°) Now, substituting these into our expression: sin(37°) * sin(53°) … Read more
To simplify the expression 200 + 200 – 20 – 20, we can follow these steps: Perform the addition: Start by adding the two 200s together. Add: 200 + 200 = 400 Perform the subtraction: Now, subtract 20 from 400. Subtract: 400 – 20 = 380 Subtract again: Then subtract another 20 from 380. Final … Read more
Dividing any number by itself results in 1, provided the number is not zero. Therefore, when we divide 15 by 15, the equation is: 15 ÷ 15 = 1 This means that the result of this division is simply one. Let’s break it down further: Division Basics: Division is one of the four fundamental arithmetic … Read more
To solve this age-related puzzle, let’s break it down step by step. When you were six years old, your sister was half your age, which means she was three years old at that time. This indicates there is a three-year age difference between the two of you—you’re the older sibling. Fast forward to the present: … Read more
To find the value of x in the equation 23x + 14x = 6, we need to start by simplifying the left side of the equation. First, combine the like terms: 23x + 14x = 37x This simplifies our equation to: 37x = 6 Next, to solve for x, we need to isolate it. We … Read more
The area of a circle can be calculated using the formula: A = πr² where A is the area, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle. To find the area, we first need to determine the radius. The radius is half of the diameter. Given … Read more
The number 16 can be represented using exponents by identifying it as a power of another number. In this case, 16 is a power of 2. This means that 16 can be written as: 16 = 24 This tells us that 2 is multiplied by itself 4 times: 2 × 2 × 2 × 2 … Read more