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2 years ago

4 1/5 divided by 2/3 express your answer as a mixed number in Simplest form

Mathematics

1 answer:

Mamont248 [21]2 years ago

8 0

4 (1/5 ) = 21/5

21 / 5 divided by 2 / 3 equals

21 / 5 * 3 / 2 equals 63 / 10 equals

6 (3 / 10)

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3⁵.2⁴.2¹.3⁶.(3²)⁴ and down (2³)².3⁶<br>

BARSIC [14]

Answer:

$\dfrac{3^{13}}{2}$

Step-by-step explanation:

Given expression:

$\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:$

$\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}$

$\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies 3^{(19-6)} \cdot 2^{(5-6)}$

$\implies 3^{13} \cdot 2^{-1}$

$\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:$

$\implies \dfrac{3^{13}}{2^1}$

$\textsf{Apply exponent rule} \quad a^1=a:$

$\implies \dfrac{3^{13}}{2}$

4 0

1 year ago

Multiply (2x-5)(3x^2-4x+2)

fgiga [73]

Answer:

$\large\boxed{(2x-5)(3x^2-4x+2)=6x^3-23x^2+24x-10}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x-5)(3x^2-4x+2)\\\\=(2x)(3x^2)+(2x)(-4x)+(2x)(2)+(-5)(3x^2)+(-5)(-4x)+(-5)(2)\\\\=6x^3-8x^2+4x-15x^2+20x-10\\\\\text{combine like terms}\\\\=6x^3+(-8x^2-15x^2)+(4x+20x)-10\\\\=6x^3-23x^2+24x-10$

7 0

2 years ago

if you divide Me by 7 you have a remainder of 3 I'm greater than 3 times 3 times 3 times 3 and less than 570 divided by 6 I am a

mariarad [96]

87. Because 3*3*3*3 is 81 and 570/6 is 95 and 87/7 is 12 R 3

6 0

2 years ago

An isosceles triangle always has three interior angles that measure 60° each.

Nataly [62]

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has <em>at least</em> two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

5 0

2 years ago

Rewrite the expression −7/8 − 2 1/4 as the sum of two numbers.

pychu [463]

Answer:

-3 1/8.

Step-by-step explanation:

−7/8 − 2 1/4

= -7/8 + -9/4

= -7/8 - 18/8

= -25/8

= -3 1/8.

4 0

2 years ago