I believe the answer is -27
Answer:
Option D :- ![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
Step-by-step explanation:
![\sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B648%20%20%7Bx%7D%5E%7B4%7D%20%20%7By%7D%5E%7B8%7D%20%7D)
transform the equation
![\rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%20%20%5Ctimes%20%20%7B3x%7D%5E%7B2%7D%20%20%20%5Ctimes%20%20%20%7Bxy%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7By%7D%5E%7B2%7D%20%7D)
rewrite the expression
![\rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%7D%20%20%5Ctimes%5Csqrt%5B3%5D%7B%20%20%7B3x%7D%5E%7B2%7D%7D%20%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7Bxy%7D%5E%7B6%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B%7By%7D%5E%7B2%7D%20%7D)
Simplify the radical expression
![\rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%20%7B6xy%7D%5E%7B2%7D%20%5Csqrt%5B3%5D%7B3xy%20%7B%7D%5E%7B2%7D%20%7D)
Multiply
![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
It is basically 30 times 2 1/2 which equals 75 ounces. So the iguana will eat 75 ounces in the month of April.
To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.
2340000 = 2.34 x 10^6
0.000034= 3.4 x 10^-5