The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
<h3>What is the simplified form of the expression?</h3>
Given the expression;
( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²
First, we use the properties of exponents.
( 2⁻²ˣ⁻³ × 3⁴ˣ⁻³ ) × ( 2⁻³ˣ² × 3²ˣ² )
( 2⁶ × 3⁻¹² ) × ( 2⁻⁶ × 3⁴ )
We take out the parentheses, such that;
2⁶ × 2⁻⁶ × 3⁻¹² × 3⁴
<em>Note that: </em>2⁶ × 2⁻⁶ = 1, as
Hence, we have
1 × 3⁻¹² × 3⁴
3⁻¹²⁺4
3⁻⁸
Next, we express with positive exponent
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
Learn more on how to simplify expressions here: brainly.com/question/403991
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Step-by-step explanation:
1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.
Answer:
0.6 or 3/5
Step-by-step explanation:
If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.
The Area is a two-dimensional scalar quantity. The area of the composite figure is 264 cm².
<h3>What is the area?</h3>
The area of a two-dimensional region, form, or planar lamina in the plane is the quantity that represents its extent. On the two-dimensional surface of a three-dimensional object, the surface area is its counterpart.
The composite figure can be broken down into four parts a square(A), a triangle(B) and two rectangles(C and D).
Now, if the area of the composite figure is taken out it will be,
Thus, the area of the composite figure is 264 cm².
Learn more about the Area:
https://brainly.in/question/14759304