What is the value of A when we rewrite 1.44^(-1.2 x) as A^(x) ? Choose 1 answer: (A) A=(144)/(12) (B) A=12^(24 x) (C) A=1.44^(1.2) (D) A=1.44^(-1.2)

Identify Base A: To rewrite 1.44^(-1.2 x) in the form A^(x), we need to find a base A such that raising A to the power of x gives us the same expression as 1.44^(-1.2 x). This means we need to find a value for A that, when raised to the power of x, is equivalent to 1.44 raised to the power of -1.2 times x.Rewrite Expression: We can rewrite the expression 1.44^(-1.2 x) as (1.44^(-1.2))^x. This is because when we raise a power to a power, we multiply the exponents. So, A should be equal to 1.44^(-1.2).Calculate A: Now we calculate A = 1.44^(-1.2). This is a straightforward calculation using the properties of exponents.Verify Answer: Looking at the answer choices, we see that option (D) A=1.44^(-1.2) matches our calculation for A. Therefore, the correct answer is (D) A=1.44^(-1.2).

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Math Problems

Calculus

Find derivatives of using multiple formulae

Full solution

Q. What is the value of

A

when we rewrite

1.44^{-1.2 x}

A^{x}

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Choose

1

answer:

\newline

(A)

A=\frac{144}{12}

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(B)

A=12^{24 x}

\newline

(C)

A=1.44^{1.2}

\newline

(D)

A=1.44^{-1.2}

Identify Base A: To rewrite $1.44^{(-1.2 x)}$ in the form $A^{(x)}$ , we need to find a base $A$ such that raising $A$ to the power of $x$ gives us the same expression as $1.44$ raised to the power of $-1.2$ times $x$ . This means we need to find a value for $A$ that, when raised to the power of $x$ , is equivalent to $1.44$ raised to the power of $-1.2$ times $x$ .
Rewrite Expression: We can rewrite the expression $1.44^{(-1.2 x)}$ as $(1.44^{(-1.2)})^x$ . This is because when we raise a power to a power, we multiply the exponents. So, $A$ should be equal to $1.44^{(-1.2)}$ .
Calculate A: Now we calculate $A = 1.44^{-1.2}$ . This is a straightforward calculation using the properties of exponents.
Verify Answer: Looking at the answer choices, we see that option (D) $A=1.44^{-1.2}$ matches our calculation for $A$ . Therefore, the correct answer is (D) $A=1.44^{-1.2}$ .