Can anyone help, my calculator does not have enough space for simplifying this,
sqrt[(16*10^113)/250*10^-28]
type this in your google search engine.
16E113/250E-28
Thanks
I think you were meant to do this without a calculator.
sqrt[(16*10^113)/250*10^-28]
= √[(16/2500)*10^142]
= (4/50)*10^71
= .08*10^71
= 8.0 * 10^69
If you put bobpursley's expression into Google with brackets around it and an exponent of 1/2 to get my answer.
Sure! I can help you simplify the expression:
Step 1: Let's simplify the numerator first. We have 16 multiplied by 10^113.
To multiply 16 by 10^113, you simply add the exponents since the base (10) is the same. So the result is 16 * 10^113.
Step 2: Next, let's simplify the denominator. We have 250 multiplied by 10^-28.
To multiply 250 by 10^-28, you again add the exponents (since the base is the same), resulting in 250 * 10^-28.
Step 3: Now, let's simplify the square root expression by dividing the numerator by the denominator.
So we have sqrt((16 * 10^113) / (250 * 10^-28)).
Dividing the numerator by the denominator is the same as multiplying by the reciprocal of the denominator. Thus, the reciprocal of 250 * 10^-28 is (1 / (250 * 10^-28)).
Therefore, the expression simplifies to sqrt((16 * 10^113) * (1 / (250 * 10^-28))).
Step 4: Simplify the expression inside the square root.
When multiplying numbers with the same base (10), you add the exponents. So we have 10^113 * (1 / 10^-28).
Subtracting the exponents (since it's division), 10^113 / 10^-28 simplifies to 10^(113 + 28) or 10^141.
Multiplying 16 by 1 gives us 16.
Therefore, the expression now becomes sqrt(16 * 10^141).
Step 5: Finally, simplify the square root.
The square root of 16 is 4.
So the final simplified expression is 4 * sqrt(10^141).
Note: This expression is still quite large, and it might not be possible to calculate the exact value without using specialized software or tools.