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VashaNatasha [74]
3 years ago
13

Hepl will give branliest​

Mathematics
2 answers:
lora16 [44]3 years ago
4 0

Answer:

1

I THINK I GOT IT OMG THAT WAS SO HARD

NARA [144]3 years ago
3 0

Answer:

z = 5

Step-by-step explanation:

\frac{4x^2y^7}{8x^3y^2} = \frac{y^z}{2x}

It can be also written as -

\frac{2^2 \times x^2 \times y^7}{2^3 \times x^3 \times y^2} = \frac{1 \times x^0 \times y^z}{2 \times x^1 \times y^0}

Using law of exponents , lets solve this.

=> 2^{(2-3)} \times x^{(2-3)} \times y^{(7 - 2)} = \frac{1}{2} \times x^{(0-1)} \times y^{(z-0)}

=> 2^{-1} \times x^{-1} \times y^{5} = 2^{-1} \times x^{-1} \times y^z

=> \frac{y^5}{2x} = \frac{y^z}{2x}

=> y^z = y^5

=> z = 5

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