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kolezko [41]
3 years ago
6

Name 5 places/people you can borrow from. Why would they trust your credit

Mathematics
1 answer:
azamat3 years ago
3 0
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Need help ASAP
joja [24]

Part (1) : The solution is 729

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is 3^{2} \cdot3^{4}

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$, we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

3^{2} \cdot3^{4}=3^6=729

Thus, the simplified value of the expression is 729

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

\frac{1}{2^4x^8}

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$, we have,

\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}

Adding the powers, we get,

\frac{2x^{2}y^{-1}z^{-7}}{3}

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0
4 years ago
How is -27 a rational number
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

A rational number can be expressed in the form

\frac{a}{b} where a and b are integers

Given

- 27 = \frac{-27}{1} ← in rational form

Thus - 27 is a rational number

7 0
4 years ago
Read 2 more answers
What is the additive inverse of t ? *
antiseptic1488 [7]

Answer:

-t

Step-by-step explanation:

Additive inverse of t:

t*-1 = -t

6 0
3 years ago
Read 2 more answers
240,000 written as 10th power
kirill115 [55]
The answer is 24 to the 4th power
3 0
3 years ago
The cost of a bagel and a cup of coffee is $1.45. The cost of 3 bagels and a cup of coffee is $2.95. What is the cost of a cup o
seropon [69]

<em> </em><em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>0</em><em>.</em><em>7</em><em>5</em><em>.</em><em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>

8 0
3 years ago
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