options: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Write and evaluate numerical expressions involving whole-number exponents.

Write, read, and evaluate expressions in which letters stand for numbers.
problem_activity: Task
Here are some different ways to write the value $16$:
{"table": [{"tbody": [{"tr": [{"td": [{"_value": "$$2^4$$"}, {"_value": "$$12-(2^1+2^2)+\\frac{500}{50}$$"}, {"_value": "$$2^3+2^3$$"}, {"_value": "$$\\frac23\\times48^1-(1+3)^2$$"}]}]}]}]}
Find at least three different ways to write each value below. Include at least one exponent in all of the expressions you write.
81
$2^5$
$\frac{64}{9}$


correct_option_index: 2