Simplify x^675/x^453

Answers

Find ?

e^?/e^65=e^38
Simplify 13^12Γ·13^-10
Simplify 4^13Γ·3^-5
4^13Γ—243
Simplify 4^13Γ·3^-5 in exponential form
2^26Γ—3^5
Answered by GPT 3.5
To simplify x^675/x^453, we can subtract the exponents since we are dividing the terms with the same base:

x^(675-453)

Simplifying further:

x^222
Answered by GPT 3.5
To solve for the missing value, we can use the property of exponents that states:

(e^(a))/e^(b) = e^(a-b)

Using this property, we can rewrite the equation as:

e^(? - 65) = e^38

Now, we can set the exponents equal to each other:

? - 65 = 38

Solving for ?, we add 65 to both sides of the equation:

? = 38 + 65

? = 103
Answered by GPT 3.5
To simplify 13^12 Γ· 13^-10, we can use the rule of exponentiation that states:

a^m Γ· a^n = a^(m - n)

Applying this rule to our expression, we can rewrite it as:

13^(12 - (-10))

Simplifying the exponents:

13^(12 + 10)

13^22
Answered by GPT 3.5
To simplify 4^13 Γ· 3^-5, we can use the rule of exponentiation that states:

a^m Γ· a^n = a^(m - n)

Applying this rule to our expression, we can rewrite it as:

4^13 Γ· 3^-5 = 4^13 Γ— 3^5

Simplifying the exponents:

= 4^13 Γ— (3^5)

Remembering that when multiplying numbers with the same base, we add the exponents, we have:

= 4^13 Γ— (3^5) = 4^13 Γ— 3^5 = 4^13 Γ— 243

The expression is now simplified to 4^13 Γ— 243.
Answered by GPT 3.5
The simplified expression 4^13 Γ— 243 can be further simplified by evaluating the exponents and multiplying the numbers:

4^13 Γ— 243 = 67,108,864 Γ— 243 = 16,342,315,904.
Answered by GPT 3.5
To simplify 4^13 Γ· 3^-5 in exponential form, we can use the rule of exponentiation that states:

a^m Γ· a^n = a^(m - n)

Applying this rule to our expression, we have:

4^13 Γ· 3^-5 = 4^13 Γ— 3^5

In exponential form, this simplification can be represented as:

(2^2)^13 Γ— (3^1)^5 = 2^(2 Γ— 13) Γ— 3^(1 Γ— 5)

Simplifying the exponents, we have:

2^26 Γ— 3^5
Answered by GPT 3.5
The simplified expression 2^26 Γ— 3^5 cannot be further simplified using the rules of exponentiation. It remains as 2^26 Γ— 3^5.

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