Question

R=x²/y
x=3.8×10^5
y=5.9×10^4
work out the value of R in standard form.

Answer 1

To find R in standard form, square x to get 14.44×10¹⁰, then divide by y and subtract the exponents to get the final value of R = 2.44×10⁶.

Step-by-step explanation:

To calculate the value of R given that R = x²/y, with x = 3.8×10⁵ and y = 5.9×10⁴, follow these steps:

1. Square the value of x: (3.8×10⁵)² = 14.44×10¹⁰.
2. Divide the squared value of x by y: 14.44×10¹⁰ / 5.9×10⁴.
3. To divide in standard form, you subtract the exponents of 10: 10¹⁰ / 10⁴.
   This gives us 10⁶ (because 10 - 4 = 6).
4. So, the value of R is the quotient of the numerical values multiplied by 10 to the power of the difference in exponents: R = 2.44×10⁶.