Write the number 2, point, 4, times, 10, to the power 42.4×10
4
in standard form.
The number 2.4 times 10 to the power 42.4x10^4 can be written in standard form as:
2.4 × 10^(42.4x10^4)
Write the number 2.4 10^4 in standard form.
The number 2.4 × 10^4 in standard form is 24,000.
Write the number 0.06 in scientific notation.
The number 0.06 in scientific notation is 6 × 10^(-2).
To write the number 2.4 times 10 to the power 42.4×10^4 in standard form, you need to move the decimal point to the right or left until there is only one non-zero digit to the left of the decimal point.
In this case, since the exponent is positive, you need to move the decimal point to the right.
Starting with 2.4 × 10^(42.4×10^4), move the decimal point to the right by 42.4×10^4 places.
Therefore, the number in standard form is 240,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.
To write the number 2.4 times 10 to the power of 42.4×10^4 in standard form, we need to simplify it.
First, let's consider 10 to the power of 42.4×10^4. In this case, we can multiply the exponent 42.4 by 10^4 to get the combined exponent.
10^4 means adding four zeros to 1, so we have: 10^4 = 10,000.
Now multiply the given exponent 42.4 by 10,000 to get the combined exponent: 42.4 × 10,000.
42.4 × 10,000 = 424,000.
Next, we multiply the coefficient, 2.4, by the new exponent we've calculated.
2.4 × 424,000 = 1,017,600.
Therefore, the number 2.4 times 10 to the power of 42.4×10^4 in standard form is 1,017,600.