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2 years ago

Write 1,000,000 as a power of 10 using exponents. A) 102 B) 103 C) 106 D) 107

Mathematics

1 answer:

Vikki [24]2 years ago

4 0

Answer: 10 to the 6th power

Step-by-step explanation: To write 1,000,000 as a power of 10, first notice that 1,000,000 is a whole number. This means that the exponent of our power of 10 will be positive.

To determine the value of our exponent, first write a decimal point at the end of 1,000,000. So, it would look like this.

1,000,000.

Next, count the number of places we would need to move the decimal point in order to get 1.0.

In this problem, we would need to move the decimal point 8 places in order to get to 1.0.

This means that the value of our exponent on the power of 10 will be 8.

Therefore, 1,000,000 can be written as 10 to the 6th power.

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2 years ago

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2 years ago

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2 years ago

Help! Which expression is equivalent? On edge

Ira Lisetskai [31]

Answer: Choice B

$x^{1/8}y^{8}$

======================================================

Explanation:

The two rules we use are

$(a*b)^c = a^c*b^c$

$(a^b)^c = a^{b*c}$

When applying the first rule to the expression your teacher gave you, we can say that:

$\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}$

Then applying the second rule lets us say

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Therefore,

$\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}$

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In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

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