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2 years ago

Simplify the expression below.

Mathematics

2 answers:

Mashutka [201]2 years ago

7 0

Answer:

D. 10^10

Step-by-step explanation:

Multiplying numbers with exponents rule : $a^b*a^c=a^b^+^c$

explanation of rule : we simply keep the bases the same and add the exponents.

10^3 • 10^7

keep the base as 10 and add the exponents

$10^3 * 10^7 =10^3^+^7=10^1^0$

Keep in mind that this only works when the bases are the same.

djverab [1.8K]2 years ago

4 0

Answer:

$\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: ANSWER : \: \: \: \: 10^{10} }}}}}}}}$

Step-by-step explanation:

The given expression, 10³ • 10⁷ has the same base but different exponential values. We know that,

$\large\sf \: a^{x} * a^{y} = a^{x + y}$

So,

$\large{\mathfrak{10^{3} * 10^{7} }}$

= $\large{\mathfrak{10^{3 + 7} }}$

= $\huge{\boxed{\mathfrak{10^{10} }}}$ (3rd option)

_____

Hope it helps!

$\mathfrak{Lucazz}$

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2 years ago

Read 2 more answers

A function is expressed by the equation y=0.3x−6. For what value of the independent variable will the value of the function be e

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Answer:

0; 10; 20

Step-by-step explanation:

x is the independent variable

y is the dependent variable

y is dependent on x

a) For what value of the independent variable will the value of the function be equal to −6

y=0.3x−6

-6 = 0.3x-6

0=0.3x

x = 0

Therefore, if the independent variable is 0, the value of the function will be -6.

b) For what value of the independent variable will the value of the function be equal to −3

y=0.3x−6

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0.3x = 3

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x = 10

Therefore, if the independent variable is 10, the value of the function will be -3.

c) For what value of the independent variable will the value of the function be equal to 0.

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Therefore, if the independent variable is 20, the value of the function will be 0.

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2 years ago