1) Write the expression as a fraction with a positive exponent. Do not evaluate the expression.
307 to the power of -712
1/(307^712)
1) For an eighth grader, Write the expression as a fraction with a positive exponent. Do not evaluate the expression.
307 to the power of -712
To write the expression 307 to the power of -712 as a fraction with a positive exponent, we can rewrite it as 1 over 307 to the power of 712.
So, the expression as a fraction with a positive exponent is: 1/(307^712)
What is 1 to the power of 0?
Any number (except 0) raised to the power of 0 is equal to 1. So, 1 to the power of 0 is equal to 1.
What is (12^3)^1
(12^3)^1 is equal to 12^3, which equals 12 * 12 * 12 = 1,728.
Which expression is equivalent to 12^-3/ 2^-3 ?
A. 6^3/6^-1
B. 1/6^3
C. 6^0
D. (6^-2)^-1
To determine which expression is equivalent to 12^-3 / 2^-3, we can simplify the expression first.
12^-3 = 1/12^3 = 1/1728
2^-3 = 1/2^3 = 1/8
So, 12^-3 / 2^-3 = (1/1728) / (1/8) = (1/1728) * (8/1) = 8/1728 = 1/216
Now, let's examine the answer choices:
A. 6^3 / 6^-1 = 216 / 6 = 36,
B. 1 / 6^3 = 1 / 216,
C. 6^0 = 1,
D. (6^-2)^-1 = (1/6^2)^-1 = (1/36)^-1 = 36.
Among the answer choices, B (1/6^3) is equivalent to 12^-3 / 2^-3.
1) Simplify. Express your answer using positive exponents.
(3fgh)(4fgh^5)