Question

Which expression is not equivalent to (52)3p (1) (5¹)6 (3) (55)* (2) (53x)2 (4) (52)3x​

Answer 1

The expression that is not equivalent is (5¹)6.

All the other terms are written in exponential notation, except for this one, which is written in expanded form.

To simplify the other terms:

- (52)3p = 5^6p
- (55)* = 5^10
- (53x)2 = 5^6x^2
- (52)3x = 5^6x

So the entire expression can be written as:

5^6p * 5^1 * 5^10 * 3 * 5^6x^2 * 2 * 5^6x

When we multiply the terms with the same base (5), we add their exponents. So we can simplify the expression to:

5^(6p + 1 + 10 + 6x^2 + 6x) * 6

This expression is equivalent to the original expression, except for the term (5¹)6, which should be written as 5^6.

Answer 2

Expression 1: (52)3p

Expression 2: (1) (5¹)6

Expression 3: (3) (55)*

Expression 4: (2) (53x)2

Expression 5: (4) (52)3x

The expression that is not equivalent to (52)3p (1) (5¹)6 (3) (55)* (2) (53x)2 (4) (52)3x is Expression 3: (3) (55)*.