Can someone help me to solve this scientific notation equation.
(5.7 x 10^3)^-^4
I don't understand your notation
^-^4
I will assume you meant:
(5.7 x 10^3)^-4
= 5.7^-4 x 10^-12
= .000947.. x 10^-12
= 9.47 x 10^-16
Thank you Reiny
Certainly! I can help you solve the scientific notation equation.
To simplify the equation (5.7 x 10^3)^-^4, we first need to understand the concept of raising a number to a negative power. When a number is raised to a negative exponent, it is essentially being flipped from the numerator to the denominator, or vice versa.
In this case, we have (5.7 x 10^3)^-^4. The base of the exponent is (5.7 x 10^3). To simplify this, we can break it down into two separate parts: 5.7 and 10^3.
The first step is to isolate the base from the exponent. We can rewrite the equation as:
(5.7^(-4)) x (10^(3 x -4))
Now, we can evaluate each part separately. Let's start with 5.7.
To raise 5.7 to the power of -4, we need to flip it by taking the reciprocal. The reciprocal of a number is 1 divided by the number itself. So, 5.7^(-4) becomes 1 / (5.7^4).
Next, let's calculate 10^(3 x -4). When we have an exponent of a negative number, we can rewrite it as the reciprocal of the positive exponent. Thus, 10^(3 x -4) becomes 1 / (10^(3 x 4)), which simplifies to 1 / (10^12).
Now, we can combine the two parts:
(1 / (5.7^4)) x (1 / (10^12))
To finish solving the equation, you can evaluate this expression using a calculator.