Question

What is 5(⅔)²-3=?what is the answer ​

Answer 1

Answer:

-7/9

Step-by-step explanation:

$5(\frac{2}{3} )^{2} -3\\\\=5(\frac{4}{9} )-3\\\\=\frac{20}{9} -3\\\\=\frac{20}{9}-\frac{9*3}{9} \\\\=\frac{20}{9} -\frac{27}{9} \\\\=\frac{20-27}{9} \\\\=-\frac{7}{9}$

Answer 2

Answer:

We can evaluate this using the order of operations. To begin with, we start with the (2/3)^2 since it is an exponent and in parenthesis. This comes to 4/9 because we multiple 2 times 2 to get the numerator and 3 times three for the denominator. Then we multiply by 5. This gives us 20/9 because we are multiplying by 5/1. We use the same process as above. We can express 3 as 3/1 or 27/9. 20/9-27/9 is -7/9. So the answer is -7/9.