I need help plz help me I don't understand

Simplify 7^-5/6*7^-7/6

DochEvi [55]

So the rule with multiplying exponents of the same base is $x^m*x^n=x^{m+n}$ . Apply this rule here:

$7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}$

Next, the rule with converting negative exponents into positive ones is $x^{-m}=\frac{1}{x^m}$ . Apply this rule here:

$7^{-2}=\frac{1}{7^2}=\frac{1}{49}$

<u>Your final answer is 1/49.</u>

So an additional rule when it comes to exponents is $x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, your fractional exponent, x^9/7, would be converted to $\sqrt[7]{x^9}$ . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

$\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}$

Your final answer would be $x\sqrt[7]{x^2}$

3 0

3 years ago

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

solong [7]

They are each multiplied by a factor of 3.5
You can calculate this by taking the length of the similar prism and divide it with the first prism 14.7/4.2 = 3.5
Do this with the width and height to be sure
20.3/5.8 = 3.5
33.6/9.6 = 3.5

5 0

3 years ago

Read 2 more answers

Who wants to go out

Naddika [18.5K]

Answer:

no more than 8.8 pounds

Step-by-step explanation:

4 0

2 years ago

Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have differe

Nitella [24]

Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides, DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

Learn more about Congruent Triangles here:

brainly.com/question/22062407

#SPJ4

3 0

1 year ago

Read 2 more answers

HELPPPPPPP. Marie has two boxes of colored markers. Each box contains 3 markers. In

REY [17]

Answer: 16.6% percent chance she will pull out a blue or orange marker.

Hope this helps! :)

4 0

2 years ago