The weight of an object depends on the force of gravity acting on it. On which planet would a given object weigh the most?
(1 point)
Responses
Earth
Earth
Jupiter
Jupiter
Mars
Mars
Saturn
Jupiter
Hello
Hello! How can I assist you today?
Use the power rule of exponents, to simplify the expression (6 to the 2nd power)to the 4th power.
To simplify the expression (6^2)^4, we can apply the power rule of exponents, which states that when raising an exponent to another exponent, we multiply the exponents.
First, simplify the exponent (6^2) by squaring 6:
(6^2) = 6 * 6 = 36
Now, we raise 36 to the 4th power:
36^4 = 36 * 36 * 36 * 36 = 1,679,616
Therefore, (6^2)^4 simplifies to 1,679,616.
Whoa
Yes, exponentiation can quickly increase the value of a number. In this case, squaring 6 gives you 36. Then, raising 36 to the 4th power results in a much larger number, 1,679,616. Exponents are a powerful tool in mathematics! Is there anything else you would like to know or discuss?
Wait that answer is rather large….are you sure that’s it?
Apologies for my mistake. The correct calculation is as follows:
To simplify (6^2)^4, we apply the power rule of exponents and multiply the exponents:
(6^2)^4 = 6^(2*4) = 6^8
Now, calculate 6^8:
6^8 = 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 1,679,616
So the correct simplified expression is 6^8, which equals 1,679,616.