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3 years ago

Z to the power of 5 times z to the power of 6. this equation is exponets.

Mathematics

2 answers:

zheka24 [161]3 years ago

6 0

Answer:

z^11

Step-by-step explanation:

since both terms have "z" and the operation is multiplication, you add the exponents together

Anna71 [15]3 years ago

5 0

Answer:

$z^{11}$

Step-by-step explanation:

If you are multiplying and have common base numbers or variables, add the powers together to solve. In this case, the common base variable is z.

$z^{5} * z^{6} = z^{5 + 6} = z^{11}$

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Find the volume of the following square pyramid. geometry hw

Luda [366]

Given:

The square base pyramid with height 3 cm and base edge 2 cm.

To find:

The volume of the square pyramid.

Solution:

Volume of a square base pyramid is:

$V=\dfrac{1}{3}Bh$ ...(i)

Where, B is the base area and h is the height of the pyramid.

Base is a square with edge 2 cm, so the base area is:

$B=a\times a$

Where, a is the edge of the square base.

$B=2\times 2$

$B=4$

Putting $B=4,h=3$ in (i), we get

$V=\dfrac{1}{3}(4)(3)$

$V=4$

Therefore, the volume of the given pyramid is 4 cm³.

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$