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4 years ago

Convert 3.5 • 10^4 to standard form.

Mathematics

1 answer:

timofeeve [1]4 years ago

7 0

$3.5\cdot10^4=35000$

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Write as a monomial in standard form (−4x^2ya^3)^2

svetoff [14.1K]

The given monomial in standard form is $16a^6x^4y^2$

Solution:

A Monomial in standard form is the product of one or more factors: a constant coefficient and one factor for each variable in the expression.

Given monomial is:

$(-4x^2ya^3)^2$

We use the following law of exponents to solve the above monomial:

$(ab)^n = a^nb^n\\\\(a^n)^m = a^{mn}$

Using these in given monomial, we get

$(-4x^2ya^3)^2 = (-4)^2(x^2)^2(y)^2(a^3)^2$

Now applying the law of exponent $(a^n)^m = a^{mn}$ we get,

$(-4)^2(x^2)^2(y)^2(a^3)^2 = 16x^{2 \times 2}y^2a^{3 \times 2} = 16x^4y^2a^6$

A monomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc

Writing in standard form we get,

$\rightarrow 16a^6x^4y^2$

Thus the given monomial is written in standard form

7 0

3 years ago

Read 2 more answers

A USB stick can store 1.1x10 power of 3

lesantik [10]

Answer:

uhhh

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help me please thank you!

Svetach [21]

BD is the bisector, so you just divide 40 by 2 to get 20, your answer.

7 0

4 years ago

Answer below please!

poizon [28]

Answer:

$x=-\frac{11}{18}$

Step-by-step explanation:

$-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x$

Solve parenthesis first

$-2\frac{5}{6} + 1/3$

Find a common denominator.

The common denominator would be 6.

Because the first expression already has a denominator of 6 it stays the same.

$\frac{1}{3} = \frac{2}{6}$

$-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}$

Put that into the original equation.

$-1\frac{7}{9}=(-1\frac{1}{6} )x$

Isolate the x. Add $1\frac{1}{6}$ to each side.

$-1\frac{7}{9}+ 1\frac{1}{6}=x$

Find a common denominator.

we can use 18 as the common denominator.

$-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x$

Add.

$-\frac{11}{18} =x$

We cannot simplify so our answer stays the same.

6 0

2 years ago

PLZ HELP ME PLZ I don't understand this

FinnZ [79.3K]

Answer:

Step-by-step explanation:

For this equation we have to plug in, so z= 6 and w=7. the question is 8z+7w

so plug in 6 for z and 7 for w. 8(6)+7(7) so 8*6 is 48 and 7*7= 49. 48+49= 97

hope this helps :)

5 0

3 years ago