Answer:
Step-by-step explanation:
Let's look at what 10^100 and 100^10 are as numbers without exponents.
Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.
Let's use rules of exponents to understand what 100^10 is.
100^10 = (10^2)^10
To raise a power to a power, multiply powers.
100^10 = (10^2)^10 = 10^20
We know what 10^20 means. It is a 1 followed by 20 zeros.
A googol, 10^100, is a 1 followed by 100 zeros.
100^10 is the same as 10^20 or 1 followed by 20 zeros.
A googol is much, much greater than 100^10.
Answer:
53 pushes
Step-by-step explanation:
Total Volume of soap = 474 mL
Volume per push = 8mL
Mimimum volume required = 50mL
The equation which represents the number of push, x that can be made :
Total volume = minimum volume + (volume per push * number of pushes)
Total volume = 50 + (8 * x)
474 ≤ 50 + 8x
474 - 50 ≤ 8x
424 ≤ 8x
53 ≤ x
The number of pushes that can be made = 53
Answer:
Step-by-step explanation:
the other 3 are perfect squares and have rational answers.
