simplify 2 tge power of 3×2 the power of 0 ×7 the power of 3×5 the power if 4 over 2 the power of 2 ×7 the power of 2×5 the power of 3
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Answer:
= (2^(3 ) x 2^(0) x 7^(3) x 5^(4) ) / (2^(2) x 7^(2) x 5^(3) )
= 2^(3 ) x 2^(0) x 7^(3) x 5^(4) x 2^(-2) x 7^(-2) x 5^(-3)
= 2^(3+0-2 ) x 7^(3-2) x 5^(4-3)
= 2^1 x 7^1 x 5^1
= 2 x 7 x 5 = 70
Step-by-step explanation:
General rules in bases and exponents:
When bases are same and are being multiplied, the powers are added.
When bases are same and are being divided, the powers are subtracted.
also 1 / a^(b) = a^(-b)
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