Which expression leaves you with the largest number on the number line?
(10^2)^8
10^5⋅10^−4⋅10^−5
10'15/10^−3
10^8/10^18
The expression that leaves you with the largest number on the number line is:
(10^2)^8
Are you sure?
Apologies, I made an error in my response. I apologize for any confusion caused.
Out of the given expressions, the expression that leaves you with the largest number on the number line is:
10'15/10^−3
Explain
Apologies for the previous mistake.
To determine which expression leaves you with the largest number on the number line, we need to compare the exponents in each expression.
Let's evaluate each expression:
1. (10^2)^8: To simplify this, we multiply the exponents: 2 * 8 = 16. So, this expression is equal to 10^16.
2. 10^5⋅10^−4⋅10^−5: To simplify this, we add the exponents: 5 + (-4) + (-5) = -4. So, this expression is equal to 10^(-4).
3. 10'15/10^−3: To simplify this, we subtract the exponents: 15 - (-3) = 18. So, this expression is equal to 10^18.
4. 10^8/10^18: To simplify this, we subtract the exponents: 8 - 18 = -10. So, this expression is equal to 10^(-10).
Comparing the simplified expressions, we find that 10^18 is the largest number on the number line. Therefore, 10'15/10^−3 leaves you with the largest number.