which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answer fast.

The expression that is not equal to the given expression is; 3⁻³ × 3⁴

We are given the expression; 3³ ÷ 3⁻⁴

According to laws of exponents, x⁵ ÷ x² = x⁽⁵ ⁻ ²⁾

Thus; 3³ ÷ 3⁻⁴ = 3⁽³ ⁻ ⁽⁻⁴⁾⁾ = 3⁷

Let us look at each of the options;

Adding the exponents gives ⇒ 3⁷

Subtracting the exponents gives ⇒ 3⁷

Adding the exponents gives ⇒ 3⁷

D) 3⁻³ × 3⁴ = 3⁽⁻³ ⁺ ⁴⁾

Subtracting the exponents gives⇒ 3

Looking at the options, the only one that is not equal to the given expression is; 3⁻³ × 3⁴

Read more about Laws of exponents at; link

÷

Step-by-step explanation:

Evaluate ÷ , then evaluate each given expression to find which of them will give us the same result.

÷

÷ (recall:

÷

(changing from division operation to multiplication by flipping the fraction to our right upside down)

Let's compare the expressions in the given options to the value we got above:

Option 1: 3*3⁶

= 3*729 = 2,187 (this is equal)

Option 2: 3⁷ ÷ 3⁰

= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)

= 2,187 (this is equal)

Option 3: 3³ * 3⁴

= 27*81 = 2,187 (this is equal)

Option 4: ÷

÷

÷

(changing from division to multiplication)

(not equal)

÷ i not equal to ÷ .

the answer is a if my teacher taught me correct