Which expression leaves you with the smallest number on the number line?
•10 to the power of 8 over 10 to the power of 8
•10 to the power of 8 over 10 to the power of 10
•10 to the power of 5 multiply 10 to the power of -4
• (10 to the power -2) to the power -2
The expression that leaves you with the smallest number on the number line is (10 to the power -2) to the power -2.
Is it?
Apologies for the incorrect response. Let's re-evaluate the expressions:
• 10 to the power of 8 over 10 to the power of 8 = 1.
• 10 to the power of 8 over 10 to the power of 10 = 10 to the power of (8-10) = 10 to the power of -2.
• 10 to the power of 5 multiplied by 10 to the power of -4 = 10 to the power of (5+(-4)) = 10 to the power of 1 = 10.
• (10 to the power -2) to the power -2 = 10 to the power of (-2*(-2)) = 10 to the power of 4 = 10,000.
Therefore, the correct answer is 10 to the power of 8 over 10 to the power of 8, which equals 1.