Mathematics, 09.09.2020 21:01 pim9705876

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.

which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negat

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Answer from: Jadalamanna

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

Laws of Exponents

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;

A) 3 × 3⁶ = 3⁽¹ ⁺ ⁶⁾

Adding the exponents gives ⇒ 3⁷

B) 3⁷ ÷ 3⁰ = 3⁽⁷ ⁻ ⁰⁾

Subtracting the exponents gives ⇒ 3⁷

C) 3³ × 3⁴ = 3⁽³ ⁺ ⁴⁾

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

Answer from: raincalderxn

$3^{-3}$ ÷ $3^{4}$

Step-by-step explanation:

Evaluate 3^3 ÷ $3^{-4}$ , then evaluate each given expression to find which of them will give us the same result.

3^3 ÷ $3^{-4}$

÷ $\frac{1}{3^4}$ (recall: $a^{-x} = \frac{1}{a^x}$

÷ $\frac{1}{81}$

$27 * \frac{81}{1}$ (changing from division operation to multiplication by flipping the fraction to our right upside down)

27 * 81 = 2,187

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: $3^{-3}$ ÷ $3^{4}$

$\frac{1}{3^3}$ ÷

$\frac{1}{27}$ ÷

$\frac{1}{27} * \frac{1}{81}$ (changing from division to multiplication)

$= \frac{1*1}{27*81}$

$= \frac{1}{2,187}$ (not equal)

$3^{-3}$ ÷ $3^{4}$ i not equal to 3^3 ÷ $3^{-4}$ .

Answer from: Quest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is $3\times 8.50=$25.5$

cost of 2 dresses if one cost at $27.50 is $2\times 27.50=$55$

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is $25.5+$55+$17.50=$98

Answer from: Quest

answer: b

step-by-step explanation: im sorry bro bro but thats not a eqation the human mind can answer and plus im a devil

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